{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ff8465b6",
   "metadata": {},
   "source": [
    "| [**Lattice QCD I**](https://homepages.uni-regensburg.de/~lec17310/teaching/wise2122/lqft.html) | - | [**Christoph Lehner**](https://go.ur.de/lehner) |\n",
    "|:-|--|-:|\n",
    "\n",
    "# Chapter 9: continuum limit and phase transitions\n",
    "\n",
    "In this chapter we consider the behavior of lattice QCD calculations close to the continuum limit $a\\to 0$.\n",
    "We focus on pure SU(3) gauge theory with $\\beta = 6/g^2$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "805d159d",
   "metadata": {},
   "source": [
    "## Scaling and beta function\n",
    "\n",
    "Let $O(g,a)$ be a measurement on an ensemble with coupling $g$ and\n",
    "lattice spacing $a$.  If the measurement has a continuum limit, we have\n",
    "$$\n",
    "\\begin{align}\n",
    "\\lim_{a\\to0} O(g(a),a) = O_0 \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "Therefore for sufficiently small $a$ we must have\n",
    "$$\n",
    "\\begin{align}\n",
    "0 &= a\\frac{d}{da} O(g(a),a) = \\frac{d}{d\\log a}O(g(a),a) \\\\\n",
    "&=\\left(\\frac{\\partial g(a)}{\\partial \\log a} \\frac{\\partial}{\\partial g}+ \\frac{\\partial}{\\partial \\log a}\\right) O(g,a)\n",
    "\\end{align}\n",
    "$$\n",
    "This expression separates the explicit lattice scale dependence of\n",
    "the measurement from the one introduced through the indirect dependence\n",
    "of the coupling constant $g$ on the lattice spacing.\n",
    "In a more general theory, such as QCD with dynamical quarks, we will have more\n",
    "couplings to tune which all also contribute to this equation similarly to $g$.\n",
    "For now, we continue to focus on the pure QCD case.\n",
    "\n",
    "As an example, consider measuring the mass\n",
    "of a particle in lattice units $m^{\\rm lat}$.  Then\n",
    "the corresponding mass in physical units, say GeV, is given\n",
    "by\n",
    "$$\n",
    "\\begin{align}\n",
    "O_m(g,a) = a^{-1} m^{\\rm lat}(g) \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "For this measurement we therefore have\n",
    "$$\n",
    "\\begin{align}\n",
    "\\frac{\\partial}{\\partial \\log a} O_m(g,a) = - O_m(g,a) \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "In general, for an operator $O_\\lambda$ with mass dimension $[O_\\lambda]=\\lambda$, we obtain\n",
    "$$\n",
    "\\begin{align}\n",
    "\\frac{\\partial}{\\partial \\log a} O_\\lambda(g,a) = - \\lambda O_\\lambda(g,a) \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "This term therefore accounts for the naive scaling dimension $\\lambda$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5277b440",
   "metadata": {},
   "source": [
    "It is now useful to define the **beta function**\n",
    "$$\n",
    "\\begin{align}\\label{eqn:betadiff}\n",
    "\\beta(g(a)) = \\frac{\\partial g(a)}{\\partial \\log a^{-1}} = -\\frac{\\partial g(a)}{\\partial \\log a}\n",
    "\\end{align}\n",
    "$$\n",
    "which encapsulates the scale dependence of the coupling constant $g$.  One can\n",
    "show in perturbation theory that for gauge group SU(N) with $n_f$ massless fermions\n",
    "one has\n",
    "$$\n",
    "\\begin{align}\n",
    "\\beta(g(a)) = - g^3 \\beta_0(N,n_f) - g^5 \\beta_1(N,n_f) + O(g^7) \n",
    "\\end{align}\n",
    "$$\n",
    "with\n",
    "$$\n",
    "\\begin{align}\n",
    "\\beta_0(N,n_f) &= \\frac1{(4\\pi)^2}\\left( \\frac{11}{3} N - \\frac23 n_f \\right) \\,, \\\\\n",
    "\\beta_1(N,n_f) &= \\frac1{(4\\pi)^4}\\left( \\frac{34}{3} N^2 - \\frac{10}{3} N n_f - \\frac{N^2 - 1}{N} n_f \\right) \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "For $N=3$ and $n_f=0$, we therefore have\n",
    "$$\n",
    "\\begin{align}\n",
    "\\beta_0(3,0) &= \\frac{11}{(4\\pi)^2} \\approx 0.0696583\\,, \\\\\n",
    "\\beta_1(3,0) &= \\frac{51}{128\\pi^4} \\approx 0.00409035 \\,.\n",
    "\\end{align}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82f71ac3",
   "metadata": {},
   "source": [
    "## Dimensional transmutation\n",
    "\n",
    "We can solve the differential equation for $g$, Eq. \\ref{eqn:betadiff},\n",
    "$$\n",
    "\\begin{align}\n",
    "\\frac{dg}{d\\log a} = g^3 \\beta_0 + g^5 \\beta_1 + O(g^7)\n",
    "\\end{align}\n",
    "$$\n",
    "by separation of variables\n",
    "$$\n",
    "\\begin{align}\n",
    "d\\log a &= \\frac{dg}{g^3 \\beta_0 + g^5 \\beta_1} + O(g) \\\\\n",
    "&= dg\\left(\\frac1{g^3\\beta_0} - \\frac{\\beta_1}{g\\beta_0^2}\\right) + O(g)\n",
    "\\end{align}\n",
    "$$\n",
    "integrating with integration constant $c_0$ yields\n",
    "$$\n",
    "\\begin{align}\n",
    "\\log a = c_0 - \\frac12 \\frac1{g^2\\beta_0} - \\frac{\\beta_1}{\\beta_0^2} \\log g + O(g^2)\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "We can re-write this expression as\n",
    "$$\n",
    "\\begin{align}\n",
    " a &= \\exp(c_0)\\exp\\left( - \\frac12 \\frac1{g^2\\beta_0}\\right) \\left( g^2 \\right)^{- \\frac{\\beta_1}{2\\beta_0^2}}\\left(1 + O(g^2)\\right) \\\\\n",
    " &= \\exp(c_0)\\left( \\beta_0 \\right)^{\\frac{\\beta_1}{2\\beta_0^2}} \\exp\\left( - \\frac12 \\frac1{g^2\\beta_0}\\right) \\left(\\beta_0 g^2 \\right)^{- \\frac{\\beta_1}{2\\beta_0^2}}\\left(1 + O(g^2)\\right) \\\\\n",
    " &= \\frac1{\\Lambda_L} \\exp\\left( - \\frac12 \\frac1{g^2\\beta_0}\\right) \\left(\\beta_0 g^2 \\right)^{- \\frac{\\beta_1}{2\\beta_0^2}}\\left(1 + O(g^2)\\right)\n",
    "\\end{align}\n",
    "$$\n",
    "with\n",
    "$$\n",
    "\\begin{align}\n",
    "\\frac1{\\Lambda_L} = \\exp(c_0)\\left( \\beta_0 \\right)^{\\frac{\\beta_1}{2\\beta_0^2}} \\,,\n",
    "\\end{align}\n",
    "$$\n",
    "where $[\\Lambda_L]=1$.  The integration constant therefore\n",
    "has introduced a new dimensional variable to the theory\n",
    "that had no explicit dimensional parameters in the action before!\n",
    "The effect of relating the dimensionless parameter $g$ and\n",
    "the dimensionful parameter $a$ is called **dimensional transmutation**."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d59ba816",
   "metadata": {},
   "source": [
    "## Asymptotic freedom\n",
    "\n",
    "We can also re-write the above equation as\n",
    "$$\n",
    "\\begin{align}\n",
    "g(a)^{-2} &= \\beta_0 \\log(a^{-2} \\Lambda_L^{-2}) + \\frac{\\beta_1}{\\beta_0} \\log( \\log(a^{-2} \\Lambda_L^{-2}) )+ O(1/\\log(a^{2} \\Lambda_L^{2})) .\n",
    "\\end{align}\n",
    "$$\n",
    "This scale dependence of the coupling constant or **running coupling** is a feature of the quantization of the field theory.\n",
    "We have already observed the scale dependence of the coupling in chapter 7 and noticed\n",
    "that the coupling gets weaker for shorter distances.\n",
    "The fact that the coupling vanishes in the limit $a\\to 0$, which is equivalent to considering a free theory,\n",
    "is referred to as **asymptotic freedom**.\n",
    "\n",
    "For sufficiently small coupling $g$ it suffices to look at the leading-order perturbative result\n",
    "such that as long as $\\beta_0 > 0$, we are driven to a free theory.  For a general gauge\n",
    "group $N$ and number of massless fermions $n_f$, this holds as long as\n",
    "$$\n",
    "\\begin{align}\n",
    "\\frac{11}{3} N > \\frac{2}{3} n_f \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "For QCD (N=3) we therefore have asymptotic freedom as long as\n",
    "$$\n",
    "\\begin{align}\n",
    "n_f < \\frac{33}{2}\n",
    "\\end{align}\n",
    "$$\n",
    "or as long as we have at maximum 16 massless quarks.  We have\n",
    "so far found 6 quark flavors in nature.\n",
    "\n",
    "Another aspect worth highlighting is that due to asymptotic freedom, the\n",
    "continuum limit $a\\to 0$ of QCD corresponds to $g\\to 0$.  Note\n",
    "that in a general quantum field theory the continuum limit may be at\n",
    "non-trivial couplings as we will discuss again below."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e3db6e7",
   "metadata": {},
   "source": [
    "## Universality of two-loop perturbation theory\n",
    "\n",
    "One can define different coupling constants $g'$ in addition to the bare lattice\n",
    "coupling $g$.  In continuum perturbation theory, e.g., one typically uses the\n",
    "$\\overline{\\textrm{MS}}$ scheme and $g^\\overline{\\textrm{MS}}(\\mu)$ at renormalization\n",
    "energy scale $\\mu$.  There are also regulator independent momentum-subtraction schemes (RI-MOM),\n",
    "the Wilson-flow coupling, or a coupling defined in short-distance perturbation theory of\n",
    "the static quark potential.\n",
    "\n",
    "They all have in common that one can relate two different coupling constant\n",
    "definitions $g_1$ and $g_2$ in perturbation theory using\n",
    "$$\n",
    "\\begin{align}\n",
    "g_2 = g_1 + c g_1^3 + O(g_1^5)\n",
    "\\end{align}\n",
    "$$\n",
    "where $c$ is computable in perturbation theory.\n",
    "\n",
    "**Homework**: Using this equation, show that $\\beta_0$ and $\\beta_1$ are universal, i.e.,\n",
    "they are the same for the $\\beta$ function of $g_1$ and $g_2$.  Start by writing\n",
    "$$\n",
    "\\begin{align}\n",
    "\\frac{\\partial g_i(a)}{\\partial \\log a} = g_i^3 \\beta^{(i)}_0(N,n_f) + g_i^5 \\beta^{(i)}_1(N,n_f) + O(g_i^7) \n",
    "\\end{align}\n",
    "$$\n",
    "and relate $\\beta_{0,1}^{(1)}$ to $\\beta_{0,1}^{(2)}$.\n",
    "\n",
    "\n",
    "Higher orders in the beta expansion will no longer be universal.  In addition, it should\n",
    "be noted that $\\Lambda_L$ depends on the definition of the coupling $g$ and that the ratio\n",
    "of $\\Lambda_L$ for different couplings can be calculation in perturbation theory."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d47550d",
   "metadata": {},
   "source": [
    "## Comparing the perturbative results to lattice data\n",
    "\n",
    "Next, let us compare the perturbative predictions to actual lattice data.\n",
    "We now understand that for sufficiently small lattice spacing $a$, perturbation theory\n",
    "must become a good approximation, however, we do not yet know how fast this limit\n",
    "is approached.\n",
    "\n",
    "One way to make progress is to measure $a$ for a large number of $\\beta$\n",
    "values in a lattice calculation, extending our exercise of chapter 7.\n",
    "This was done, e.g., in [this paper](https://arxiv.org/pdf/hep-lat/0108008.pdf),\n",
    "where (2.6) of said paper finds\n",
    "$$\n",
    "\\begin{align}\n",
    "a = r_0 \\exp(-1.6804 - 1.7331 (\\beta - 6) + 0.7849 (\\beta  - 6)^2 - 0.4428 (\\beta-6)^3)\n",
    "\\end{align}\n",
    "$$\n",
    "to approximate the lattice results with less than one per-cent error \n",
    "for $\\beta \\in [5.7,6.92]$.\n",
    "\n",
    "Let us now compare this to the perturbative results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 275,
   "id": "d34d0727",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "def lattice_spacing_in_fm_wilson_action(beta):\n",
    "    assert beta >= 5.7 and beta <= 6.92\n",
    "    return 0.5*np.exp(-1.6804\n",
    "                      -1.7331*(beta - 6)\n",
    "                      +0.7849*(beta - 6)**2\n",
    "                      -0.4428*(beta-6)**3)\n",
    "\n",
    "betas = np.arange(5.7,6.92,0.05)\n",
    "fig, ax = plt.subplots()\n",
    "plt.xlabel(\"beta\")\n",
    "plt.ylabel(\"a / fm\")\n",
    "ax.plot(betas, [lattice_spacing_in_fm_wilson_action(beta) for beta in betas],\n",
    "        ls='-', c='red', label=\"Non-perturbative result\")\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.xlabel(\"g^2\")\n",
    "plt.ylabel(\"a / fm\")\n",
    "ax.plot([6/b for b in betas], [lattice_spacing_in_fm_wilson_action(beta) for beta in betas],\n",
    "        ls='-', c='red', label=\"Non-perturbative result\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 282,
   "id": "61b6ff95",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wilson Gauge Lambda_L / GeV 0.0062821932183028065\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEGCAYAAAB/+QKOAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAA/jklEQVR4nO3dd3iUZdbA4d8JoXfYoEiRKhAgBEgCgjRRimJQRKSIND9UxIIFsKy6qGsXV2DFhijSBBVYREBUBAUJAUMJHUQIuCtFeg083x9nEkIYkgEymUk493XNleSdd2bOG8icedp5xDmHMcYYk15IoAMwxhgTnCxBGGOM8coShDHGGK8sQRhjjPHKEoQxxhivQgMdQFb529/+5ipVqhToMIwxJkdZtmzZbudcmLf7ck2CqFSpEvHx8YEOwxhjchQR+f1891kXkzHGGK8sQRhjjPHKEoQxxhivcs0YhLl4J0+eJCkpiWPHjgU6FGOMnxQoUIDy5cuTN29enx9jCcKQlJRE0aJFqVSpEiIS6HCMMVnMOceePXtISkqicuXKPj/OupgMx44do3Tp0pYcjMmlRITSpUtfcC+BJQgDYMnBmFzuYv7GLUHs3w/PPAMbNgQ6EmOMCSqWII4dg7fegmHDAh3JZUtEeOyxx1J/fuONN3j++ecDF1Aa+/bt49///vdFPbZly5YXtHgzISGBWbNmpf48Y8YMXnnllYt67eyQ9vr++c9/Bjga4w+WIK64Ah54ACZOhHXrAh3NZSl//vx8+eWX7N69O9ChnCU5OfmiE8SpU6cu+DHpE0RsbCxDhw694OfJSHJycpY+XwpLELmTJQiAwYOhYEFrRQRIaGgo/fv3Z/jw4efct3XrVq6//noiIiJo3bo127ZtA6B379489NBDNGnShCpVqjB16lSvz927d2/uu+8+oqKiuOaaa5g5cyagb+BPPPEE0dHRRERE8N577wEwf/58mjVrRmxsLOHh4QwdOpTNmzcTGRnJE088wfz58+nQoUPq8w8cOJCxY8cCWu5lyJAhNGjQgClTpgAwbtw4IiMjqVOnDnFxcQDExcVx7bXXUr9+fZo0acL69es5ceIEzz77LJMnTyYyMpLJkyczduxYBg4cyP79+7n66qs5ffo0AIcPH6ZChQqcPHmSzZs3065dOxo2bEizZs1Y5+VDzvPPP0/Pnj1p2rQpPXv2ZNeuXdx+++1ER0cTHR3Nzz//DMCPP/5IZGQkkZGR1K9fn4MHD2Z4vSmGDh3K0aNHiYyMpEePHhn/Y5scxaa5AoSFwcCB8Npr8PTTULt2oCMKnEcegYSErH3OyEh4++0MT3nggQeIiIhg8ODBZx1/8MEH6dWrF7169WLMmDE89NBDTJs2DYA//viDn376iXXr1hEbG0vnzp29PvfWrVuJi4tj8+bNtGrVik2bNvHpp59SvHhxli5dyvHjx2natClt2rQBYPny5axevZrKlSuzdetWVq9eTYLndzJ//vwMr6N06dIsX74cgNGjR3PkyBESEhJYsGABffv2ZfXq1dSsWZOFCxcSGhrKvHnzeOqpp/jiiy8YNmwY8fHxjBw5EiD1jbh48eJERkby448/0qpVK2bOnEnbtm3Jmzcv/fv3Z/To0VSvXp0lS5YwYMAAvv/++3PiWrNmDT/99BMFCxake/fuDBo0iOuuu45t27bRtm1b1q5dyxtvvMGoUaNo2rQphw4dokCBAhlea4pXXnmFkSNHpv6OTO5hCSLF44/DqFHaipg8OdDRXHaKFSvG3XffzTvvvEPBggVTjy9evJgvv/wSgJ49e56VQG699VZCQkIIDw/nf//733mfu0uXLoSEhFC9enWqVKnCunXrmDt3LitXrkxteezfv5+NGzeSL18+YmJiLmiueFp33nnnWT9369YNgObNm3PgwAH27dvHwYMH6dWrFxs3bkREOHnypE/PO3nyZFq1asWkSZMYMGAAhw4dYtGiRdxxxx2p5x0/ftzr42NjY1N/r/PmzWPNmjWp9x04cIBDhw7RtGlTHn30UXr06EGnTp0oX778BV+/yV0sQaT429/goYfg5Zd1VlPduoGOKDAy+aTvT4888ggNGjSgT58+Pp2fP3/+1O+dcwA8/fTTfP311wCpn2jTT+8TEZxzjBgxgrZt25513/z58ylcuPB5XzM0NDS1qwc4Z155+sd6e+2///3vtGrViq+++oqtW7fSsmXLDK5SxcbG8tRTT7F3716WLVvG9ddfz+HDhylRooRPn9zTxnX69Gl++eWXc1oIQ4cO5eabb2bWrFk0bdqUOXPmZHq9JnezMYi0HnsMihSBf/wj0JFclkqVKkWXLl346KOPUo81adKESZMmATB+/HiaNWuW4XO89NJLJCQknPWmOWXKFE6fPs3mzZvZsmULNWrUoG3btrz77rupn943bNjA4cOHz3m+okWLcvDgwdSfr776atasWcPx48fZt28f3333XYbxTPa0Rn/66SeKFy9O8eLF2b9/P+XKlQM4qz8//WulVaRIEaKjo3n44Yfp0KEDefLkoVixYlSuXDl1vMM5x4oVKzKMB6BNmzaMGDEi9eeU39XmzZupW7cuQ4YMITo6mnXr1vl8vXnz5vWpJWRyFksQaZUqBQ8/DF98AT78oZms99hjj501m2nEiBF8/PHHREREMG7cOP71r39d8HNWrFiRmJgY2rdvz+jRoylQoAD33HMP4eHhNGjQgDp16nDvvfd6neFTunRpmjZtSp06dXjiiSeoUKECXbp0oU6dOnTp0oX69etn+NoFChSgfv363HfffamJb/DgwTz55JPUr1//rNds1aoVa9asSR2kTu/OO+/ks88+O6sba/z48Xz00UfUq1eP2rVrM3369Ex/H++88w7x8fFEREQQHh7O6NGjAXj77bepU6cOERER5M2bl/bt2/t8vf379yciIsIGqXMZSWma53RRUVEuSzYM+usvqFQJWrcGT993brd27Vpq1aoV6DD8onfv3nTo0OG8A9jGXE68/a2LyDLnXJS3860FkV7JkjBoEHz1Ffz6a6CjMcaYgLEE4c0jj0CJEhAkq3nNxRs7dqy1Hoy5SH5NECLSTkTWi8gmETlnSaiINBeR5SKSLCKd091XUUTmishaEVkjIpX8GetZSpSARx+FGTNg2bJse1ljjAkmfksQIpIHGAW0B8KBbiISnu60bUBvYIKXp/gUeN05VwuIAf70V6xePfywdjc991y2vqwxxgQLf7YgYoBNzrktzrkTwCSgY9oTnHNbnXMrgdNpj3sSSahz7lvPeYecc0f8GOu5ihXTxXNffw2eEgnGGHM58WeCKAdsT/NzkueYL64B9onIlyLyq4i87mmRnEVE+otIvIjE79q1KwtCTufBB6F0aRuLMMZcloJ1kDoUaAY8DkQDVdCuqLM45953zkU556LCwsKyPoqiRbUV8c03sHhx1j+/McYEMX8miB1AhTQ/l/cc80USkODpnkoGpgENsjY8Hw0cqGU4rBXhF3v27EmtIHrllVdSrly51J9PnDhxSc99ofsxBItKlSqxe/fuTEuNHz16lBYtWnDq1Cm2bt1KnTp1sjyWIkWKZHrOxb62P2KePXs2NWrUoFq1aufdS+P48ePceeedVKtWjUaNGrF169bU+15++WWqVatGjRo1mDNnTurxffv20blzZ2rWrEmtWrVY7PnA+MQTT1CzZk0iIiK47bbb2LdvHwAnT56kV69e1K1bl1q1avHyyy97jeXQoUPcf//9VK1alQYNGtCwYUM++OCDDK+xVatWZ8UGusjx/vvvZ9euXbRr1y6zX5PP/JkglgLVRaSyiOQDugIzLuCxJUQkpVlwPbAmg/P9p0gRLQc+dy54yiKbrFO6dOnU0hj33XcfgwYNSv05X758gQ7PZ/7YZyGzBDFmzBg6depEnjzn9L5elk6dOsUDDzzAN998w5o1a5g4ceJZRQlTfPTRR5QsWZJNmzYxaNAghgwZAmjF20mTJpGYmMjs2bMZMGBA6r4eDz/8MO3atWPdunWsWLEidbHZjTfeyOrVq1m5ciXXXHNNaiKYMmUKx48fZ9WqVSxbtoz33nvvrESU4p577qFkyZJs3LiR5cuXM3v2bPbu3ZvhdXbr1i21/EyKSZMm0a1bN8LCwihbtmxqCfdL5bcE4fnkPxCYA6wFPnfOJYrIMBGJBRCRaBFJAu4A3hORRM9jT6HdS9+JyCpAgIzTqj8NGABlylwWM5oeeQRatsza2yOP+P76p0+fpmHDhgCsWLECEUndA6Jq1aocOXLkvHtEZGTixInUrVuXOnXqpL4hZHS8SJEiDBo0iNq1a9O6dWu8jXGl7DXRqFEjBg8efN69GaZMmUKdOnWoV68ezZs3B0jd6yFFhw4dziklnn4vivTGjx9Px44dzzme1gcffEB0dDT16tXj9ttv58iRI6mx33///TRu3JgqVaowf/58+vbtS61atejdu/dZz+Ht97Bs2TLq1atHvXr1GDVqVOq5W7dupVmzZjRo0IAGDRqwaNGiDOPLSnFxcVSrVo0qVaqQL18+unbt6rX0yPTp0+nVqxcAnTt35rvvvsM5x/Tp0+natSv58+encuXKVKtWjbi4OPbv38+CBQvo168fAPny5aNEiRKA1rUKDdWap40bNyYpKQnQooyHDx8mOTmZo0ePki9fPooVK3ZWHJs3byYuLo4XX3yRkBB9Kw4LCzvr/+Hrr7+eumfJc573n86dO/P111+ntrC3bt3Kzp07U+uU3XrrrYwfPz5Lfqd+HYNwzs1yzl3jnKvqnHvJc+xZ59wMz/dLnXPlnXOFnXOlnXO10zz2W+dchHOurnOut2cmVGAULgxDhsB338HChQEL43IQEhLCsWPHOHDgAAsXLiQqKoqFCxfy+++/U6ZMGQoVKpS6R8TKlSvp0aMHDz30UIbPuXPnToYMGcL3339PQkICS5cuZdq0aec9DropT1RUFImJibRo0YJ/nKeAY1JSEosWLeKtt96if//+jBgxgmXLlvHGG28wYMAAAIYNG8acOXNYsWIFM2b42ojWfRaqVq1KQkICr7/++ln3nThxgi1btlCpUqUMn6NTp04sXbo09VNv2kKIf/31F4sXL2b48OHExsYyaNAgEhMTWbVqVWoBv/P9Hvr06cOIESPOKQ5YpkwZvv32W5YvX87kyZMz/bfJzPjx41O7HNPevC1+3LFjBxUqnOnVLl++PDt2nNurnfa80NBQihcvzp49e877+N9++42wsDD69OlD/fr1ueeee7wWdhwzZgzt27cH9E28cOHClC1blooVK/L4449TqlSps85PTEykXr16qckhvblz57Jx40bi4uJISEhg2bJlLFiwgFKlShETE8M333wDaOuhS5cuqZWDU/5msoKV+/bVfffphkLPPQdeNmTJLQJY7TtVkyZN+Pnnn1mwYAFPPfUUs2fPxjmX+gkpoz0ivFm6dCktW7YkZSJDjx49WLBgASLi9XjKPhMpRfHuuusuOnXq5PW577jjDvLkyZPh3gxNmzald+/edOnS5bzPc6F2796d+ik2I6tXr+aZZ55h3759HDp06Kzy5rfccgsiQt26dbniiiuo6ylxX7t2bbZu3UpkZKTX38O+ffvYt29famuoZ8+eqW9WJ0+eZODAgSQkJJAnTx42bNhwSdfZo0ePgBcATE5OZvny5YwYMYJGjRrx8MMP88orr/DCCy+knvPSSy8RGhqaGmtcXBx58uRh586d/PXXXzRr1owbbriBKlWqnPd1XnrpJaZMmcKff/7Jzp07mTt3LnPnzk0tkHjo0CE2btxI8+bNU7uZOnbsyKRJk85K/GXKlGHnzp1Zcu2WIHxVqBAMHap1mubP174T4xfNmzdPbTV07NiRV199FRHh5ptvzvBxbdu25X//+x9RUVF8+OGHWRpT+n0dUqTss3D69Onz7s0wevRolixZwtdff03Dhg1ZtmzZJe+zULBgQZ8e07t3b6ZNm0a9evUYO3bsWd1YKftphISEnLW3RkhIyHnHVM73e0gxfPhwrrjiClasWMHp06d93pXufMaPH39O6wmgWrVq52wzW65cObZvPzOzPikpKbWsurfzypcvT3JyMvv376d06dLnfXz58uUpX748jRo1ArR1kHYAfOzYscycOZPvvvsu9fczYcIE2rVrR968eSlTpgxNmzYlPj7+rAQRHh6e+nsKCQnh6aef5umnn06dGOCc48knn+Tee+895xo6duzIoEGDWL58OUeOHEntlgX9v5R2061LEazTXIPTvfdC2bLaisglVXCDUbNmzfjss8+oXr06ISEhlCpVilmzZnHdddcB598jYs6cOSQkJJyTHGJiYvjxxx/ZvXs3p06dYuLEibRo0eK8x0Hf8FPegCZMmJD62ueT0d4MmzdvplGjRgwbNoywsDC2b99OpUqVSEhI4PTp02zfvj11v+q0MtofomTJkpw6dSrTJHHw4EHKli3LyZMnL6pf2tvvoUSJEpQoUYKffvoJ4Kzn3b9/P2XLliUkJIRx48alDvJerB49eqROWkh787YHeXR0NBs3buS3337jxIkTTJo0idjY2HPOi42N5ZNPPgFg6tSpXH/99YgIsbGxTJo0iePHj/Pbb7+xceNGYmJiuPLKK6lQoQLr168H4LvvviM8XItCzJ49m9dee40ZM2ZQqFCh1NeoWLFi6tavhw8f5pdffqFmzZpnxVGtWjWioqJ45plnUn9Px44dS938qm3btowZM4ZDhw4B2jX2559aUKJIkSK0atWKvn37pu5amGLDhg1ZNjvMEsSFKFgQnnwSFiyAH34IdDS5VqVKlXDOpXZhpLwplSxZErjwPSLKli3LK6+8QqtWrahXrx4NGzakY8eO5z0O2jKIi4ujTp06fP/99zz77LOZxn2+vRmeeOKJ1IHwJk2aUK9ePZo2bUrlypUJDw/noYceokGDc2dxp9+LIr02bdqkvkkDrF+/PvXTbvny5ZkyZQovvPACjRo1omnTpue8QfnifL+Hjz/+mAceeIDIyMjUNzSAAQMG8Mknn1CvXj3WrVuX4e5854v5YoWGhjJy5Ejatm1LrVq16NKlC7U9+8s/++yzqeM//fr1Y8+ePVSrVo233nortTVQu3ZtunTpQnh4OO3atWPUqFGpM8RGjBhBjx49iIiIICEhgaeeegqAgQMHcvDgQW688UYiIyO57777AN1j/dChQ9SuXZvo6Gj69OlDRETEOTF/+OGHqbFERUVx44038tprrwH679u9e3euvfZa6tatS+fOnc/6wNCtWzdWrFhxToL44YcfMm1t+8r2g7hQx45BtWq6Z8TChZBJkzsnyM37QVysIkWKpH5yC1bLly9n+PDhjBs3LtChmCDSvHlzpk+fnvqBKi3bD8LfChSAp5/WNRE+7N5ljL80aNCAVq1aXXI3jsk9du3axaOPPuo1OVwMa0FcjORkqF8fDh6EtWu16ykHsxaE8adVq1bRs2fPs47lz5+fJUuWBCiiy9eFtiBsFtPFCA2FkSN1JtOrr+aKMhzOuUxnqBhzMerWret1dpfJXhfTGLAupovVogV06wavvAJbtgQ6mktSoEAB9uzZc1H/gYwxwc85x549ey542rF1MV2KHTugRg244QbwrMDNiU6ePElSUtIFz8U3xuQcBQoUoHz58uTNm/es49bF5C/lysHf/64L6L75BjzL7HOavHnzUrly5UCHYYwJMtbFdKkeeQSuuUa3KPWUVjDGmNzAEsSlyp8f3nkHNm6E4cMDHY0xxmQZSxBZoW1buPVWeOEF8JT7NcaYnM4SRFZ56y04fVq3KDXGmFzAEkRWqVxZB6snT7Y6TcaYXMESRFYaPFhrND34IJw8GehojDHmkliCyEoFC+qOO4mJkGYbRmOMyYksQWS12Fho1073jPjvfwMdjTHGXDS/JggRaSci60Vkk4gM9XJ/cxFZLiLJInLOJrMiUkxEkkRkpD/jzFIi8K9/wdGjOiZhjDE5lN8ShIjkAUYB7YFwoJuIhKc7bRvQG5hwnqd5AVjgrxj95ppr4LHH4JNPYNGiQEdjjDEXxZ8tiBhgk3Nui3PuBDAJ6Jj2BOfcVufcSuB0+geLSEPgCmCuH2P0n6ef1lIcAweC1es3xuRA/kwQ5YDtaX5O8hzLlIiEAG8CGS4qEJH+IhIvIvG7du266ED9okgRePNN+PVX+OCDQEdjjDEXLFgHqQcAs5xzGS5Lds6975yLcs5FhYWFZVNoF6BLF90z4umnYc+eQEdjjDEXxJ8JYgdQIc3P5T3HfHEtMFBEtgJvAHeLyCtZG142EIERI2D/fk0SxhiTg/gzQSwFqotIZRHJB3QFZvjyQOdcD+dcRedcJbSb6VPnXM6cElSnji6ce/99WLYs0NEYY4zP/JYgnHPJwEBgDrAW+Nw5lygiw0QkFkBEokUkCbgDeE9EEv0VT0A9/zyEhcF999kKa2NMjmE7ymWXKVN0TOL553URnTHGBIGMdpQL1kHq3OeOO6BHDy0JvnRpoKMxxphMWYLITiNHQtmycNddcORIoKMxxpgMWYLITiVKwNixsGEDDBkS6GiMMSZDliCyW+vWuo/1yJEwN2cuEjfGXB4sQQTCP/8JtWpBnz6wd2+gozHGGK8sQQRCwYLw2Wfw55/wwAOBjsYYY7yyBBEoDRrolNdJk2DixEBHY4wx57AEEUhDhkDjxjBgACRlWHbKGGOynSWIQAoNhXHj4MQJHY84fU7Vc2OMCRhLEIFWrRq89RbMm2f7WBtjgooliGDQvz/cdBMMHgxr1wY6GmOMASxBBAcR+OgjKFwYeva0gn7GmKBgCSJYXHnlmZLgL7wQ6GiMMcYSRFDp1AnuvlsX0v3yS6CjMcZc5ixBBJt33oFy5bSr6fDhQEdjjLmMWYIINsWLwyefwObN8MQTgY7GGHMZswQRjFq2hEcfhXffhZkzAx2NMeYyZQkiWL34IkRG6t4RGzcGOhpjzGXIrwlCRNqJyHoR2SQiQ73c31xElotIsoh0TnM8UkQWi0iiiKwUkTv9GWdQKlAAvvpKV1t37AgHDwY6ImPMZcZvCUJE8gCjgPZAONBNRMLTnbYN6A1MSHf8CHC3c6420A54W0RK+CvWoFWpEnz+uW4wdPfdVorDGJOt/NmCiAE2Oee2OOdOAJOAjmlPcM5tdc6tBE6nO77BObfR8/1O4E8gzI+xBq/rr4c334Rp07TbyRhjsok/E0Q5YHuan5M8xy6IiMQA+YDNXu7rLyLxIhK/a9euiw406D30kLYgnnsOZswIdDTGmMtEUA9Si0hZYBzQxzl3Tv+Kc+5951yUcy4qLCwXNzBEYPRoiIrSQWur12SMyQb+TBA7gAppfi7vOeYTESkGfA087ZyzZcUFC8KXX+rXjh1h375AR2SMyeX8mSCWAtVFpLKI5AO6Aj71j3jO/wr41Dk31Y8x5iwVKsDUqfDbb9CjB5w6FeiIjDG5mN8ShHMuGRgIzAHWAp875xJFZJiIxAKISLSIJAF3AO+JSKLn4V2A5kBvEUnw3CL9FWuO0qyZluOYNUvHJIwxxk/EORfoGLJEVFSUi4+PD3QY2cM53UPiww9hyhTo3DnzxxhjjBcissw5F+XtvqAepDbnIQIjR8K110KvXrByZaAjMsbkQpYgcqr8+eGLL7S43623wt69gY7IGJPLWILIycqW1ZlNO3ZA166QnBzoiIwxuYgliJyucWOt+vrtt/Dkk4GOxhiTi4QGOgCTBfr2heXL4Y03oH596N490BEZY3IBa0HkFsOHQ/Pm0K8fLFoU6GiMMbmAJYjcIm9enfJaoQLcfLPNbDLGXDJLELlJmTI6FlG4MLRpA5s2BToiY0wOZgkit7n6ak0Syclw442wc2egIzLG5FCWIHKjWrXgm29g925tSdgaCWPMRbAEkVtFR+veEZs2wU03waFDgY7IGJPD+JQgRKSkiESISIOUm78DM1mgVSuYPBni4+G22+D48UBHZIzJQTJdByEiL6D7Rm8GUir7OeB6/4VlskzHjvDRR9C7t66PmDwZQm35izEmc768U3QBqnr2lTY5Ua9e8NdfMGgQ3HcffPCBFvwzxpgM+JIgVgMlgD/9G4rxq0ce0cHqF16AkiXhtdcsSRhjMuRLgngZ+FVEVgOpndjOuVi/RWX84x//0CTxxhtQujQMHRroiIwxQcyXBPEJ8CqwCjjt33ACY8wY6NQJSpQIdCR+JqK70f31lxb2K1kS7r030FEZY4KUL7OYjjjn3nHO/eCc+zHl5vfIssn69fB//wc1a8L48bpZW64WEgJjx2o5jvvv10FrY4zxwpcEsVBEXhaRa3PjNNcaNSAuDipWhLvughtugHXrAh2Vn6XUbWrWTC/6m28CHZExJgj5kiDqA42BfwJvem5v+PLkItJORNaLyCYROafDW0Sai8hyEUkWkc7p7uslIhs9t16+vN7FatgQFi+Gf/8bli2DiAh4+mk4csSfrxpgBQvqQrq6dXWNxPTpgY7IGBNkzpsgRORhz7d/d861SnfLdA2EiOQBRgHtgXCgm4iEpzttG7rGYkK6x5YCngMaATHAcyJS0sdruih58miPy/r1ujnbP/8JtWvDzJn+fNUAK14c5s2DevXg9tu1j80YYzwyakH08Xx95yKfOwbY5Jzb4llDMQnomPYE59xW59xKzh38bgt865zb65z7C/gWaHeRcVyQK66ATz+FH37QD9m33KIfsLdty45XD4BSpTRJNG8OPXtqM8oYY8g4QawVkY1ADRFZmea2SkR82WygHLA9zc9JnmO+8OmxItJfROJFJH7Xrl0+PrVvWraEhAR4+WWYM0fr373+Opw8maUvExyKFoVZs6BDB3jgAb1oY8xl77wJwjnXDWgGbAJuSXPr4PkacM65951zUc65qLCwsCx//nz5dKnAmjXQujUMHqw7ei5cmOUvFXgFCsAXX0CPHvDUU3rhuX5KlzEmIxkOUjvn/uucq+ec+z39zYfn3gFUSPNzec8xX1zKY7NcpUo6njt9Ohw8qL0xvXvDf/8bqIj8JG9e7V+7/3549VX9eupUoKMyxgSIP8t9LwWqi0hlEckHdAVm+PjYOUAbTxXZkkAbz7GAio3V1sTQoTBhAlxzjS5KPpGbqlSFhMCoUbqQ7r33dFwiV/arGWMy47cE4ZxLBgaib+xrgc+dc4kiMkxEYgFEJFpEkoA7gPdEJNHz2L3AC2iSWQoM8xwLuMKFtYt+9Wpo0QKeeALq1NHZTrmmR0ZEp3G98gpMnKij9EePBjoqY0w2E3eedzUReRKY7Zz7NXtDujhRUVEuPj4+21939mwtkrpuHbRtC8OH64B2rvHee9rV1Ly59rMVKxboiIwxWUhEljnnorzdl1ELYgvwsIj8KiJjReROf69FyInatYOVKzUx/PKLrjt75BEtd5Qr3Huvro/4+Wcdqd+9O9ARGWOySUazmCY753o75+oD/wKqAF+KyAIReVZEYrItyiCXN68mhY0boV8/rYd3zTX64TtXjPF26wZffXWmX21HwOYLGGOykU9jEM65X51zLzvnWqHTXBOBe/waWQ4UFqZJYflyCA/XvXkaNoQfc0Npww4dtGbTtm1aw2nTpkBHZIzxswsepHbOHXDOfeGc6++PgHKDyEiYPx8+/1y7mlq2hC5dYOvWwMZ1yVq2hO+/hwMHoFEj/d4Yk2v5c5rrZU0E7rhDB6+HDdNZTjVq6KynHD0+ER0NS5bAlVdCmzZamiPXTN8yxqRlCcLPChaEv/8dNmyA7t3hzTehalX9evx45o8PSlWravnb9u21NMf99+eyxSDGGPAxQXgWrMV4ynM3F5Hm/g4stylfHj7+WOs7NWoEjz+umxRNmACnc+I+fcWKwbRpumrwvfe0NZHF9bCMMYGVaYIQkXuABeiCt394vj7v37Byr4gIHev99lvd4rRHD+21yZHd+Xny6KrBzz7TOb4xMTrn1xiTK/jSgngYiAZ+98xiqg/s82dQl4MbbtDNicaN06UFrVvDTTfpTNIcp0cPrWB44gQ0aaItC2NMjudLgjjmnDsGICL5nXPrgBr+DevyEBKiO36uXw+vvQaLFunePf365cClBtHRsHSp7rJ0223w4os2eG1MDudLgkgSkRLANOBbEZkO+FLN1fioQAGd3bR5sy64++wzqF5dtz3dvz/Q0V2Aq67S+b133aUj81275vJ9W43J3c5bi8nrySItgOJojaagmrYSqFpM/vDbb/DMMzqAXbKk7kPx4INaKDBHcE53Vxo6VDfQmDYNKlTI9GHGmOx3sbWYzuGc+9E5NyPYkkNuU7mylj9atgyuvVYrb1etqiU8jh0LdHQ+ENGs9p//aP2R6GidFmuMyVFsHUQQa9AAvv4afvpJK8Q+/LDWePrggxyyRcPNN+vspiJFdBX2v/5l4xLG5CCWIHKApk11Guy8edrN37+/JozPPssBxQDDwyEuTmuhP/KI1nT6889AR2WM8YEliBxCRKfCLl6s2zIUKaKbvdWrB19+GeQfzEuV0v1aR4yA777ToL/9NtBRGWMyYQkihxGBW27RirGTJ0NyMtx+O0RF6QK8oE0UIjBwoLYmSpbUldeDB1uJDmOCmCWIHCokRCvErl4NY8fC3r260O666/TDedAmiogIiI/XfrLXX9f+MysdbkxQ8muCEJF2IrJeRDaJyFAv9+cXkcme+5eISCXP8bwi8omIrBKRtZ7tT40XoaHQq5cutnv3Xd2uoU0bnf309ddBmigKFdL6TV98ocmhfn1dUm6MCSp+SxAikgcYBbQHwoFuIhKe7rR+wF/OuWrAcOBVz/E7gPzOubpAQ+DelORhvMuXTzco2rQJRo+G//5Xx4OjonQZQlAWBOzUCVas0ARx9926wO7AgUBHZYzx8GcLIgbY5Jzb4lk3MQnomO6cjsAnnu+nAq1FRAAHFBaRUKAgcAKwdw4f5M+v20hv3AgffaQrsW+7TTcxmjIlCBNFxYo6Resf/4CJEzVZxMUFOipjDP5NEOWA7Wl+TvIc83qOcy4Z2A+URpPFYeAPYBvwhnNub/oXEJH+IhIvIvG7rNT0WfLmhb59dcOiceN0LLhLF6hTR1doB9X02NBQePZZ3Zs1OVnHJV55JQizmTGXl2AdpI4BTgFXAZWBx0SkSvqTnHPvO+einHNRYWFh2R1jjhAaqj03iYkwaZIObvfooesoxo4NsgV3112nG2bceqsuH2/dWgtUGWMCwp8JYgeQtgBPec8xr+d4upOKA3uA7mi9p5POuT+BnwGvtUKMb/LkgTvv1O0avvhC6zr16aPboL7/fhCV8ChZUjfz/vBDrTVSty688Ya2LIwx2cqfCWIpUF1EKotIPqArMCPdOTOAXp7vOwPfO60euA24HkBECgONgXV+jPWyERKiY8PLl+uCu7/9TccsKlfWXp19+wIdIbpmol8/WLMGbrxRS902bqytC2NMtvFbgvCMKQxEd6BbC3zunEsUkWEiEus57SOgtIhsAh4FUqbCjgKKiEgimmg+ds7ZVmVZKGXB3ZIlWsIjIkJ7dSpW1PfjoNiPonx5nYL1+eewfbtOyXrySTh6NNCRGXNZuKBy38EsN5X7DpRff9W1a5Mna5fUXXdpsqhVK9CRoSsBH39cN/auXl0rFrZoEeiojMnxsqzct8nd6tfXGU6bNulC50mTtNberbfqbncBVaoUjBmjy8RPndLqsPfeGyR9YsbkTpYgzDkqV4aRI+H333X26cKFOvO0WTOYOTPAs09vuAFWrdLWxIcfagb76qsABmRM7mUJwpxXWJiuX9u2Tbdy2LZNxy0iIvTDfMBmPhUqpH1hS5ZAmTI66t65M/zxR4ACMiZ3sgRhMlW4MDz0kHY9ffaZjk/066cD2s89p2U9AiIqCpYuhZdf1qZNrVpakMqmxBqTJSxBGJ/lzauL7BISdFuHxo3hhRc0UfTqpYPcAQlq6FBd4NGgAQwYoIMp8+YFIBhjchdLEOaCicD11+s6ivXrtUjgF1/o+3OLFjozNdtLeVxzjWatL76Aw4d1/UTHjlqUyhhzUSxBmEtSvTq88w4kJcGbb+rA9m236fG3387m4qwiOh6xZo12O33/PdSurQPa+/dnYyDG5A6WIEyWKFECHn1Uxym++ALKlYNBg3St2yOPZHNJpQIFtNtp40bdl/WttzRjvfdekFUpNCa4WYIwWSo0VD/EL1yo48cdO8KoUfr+3KEDzJqVje/RV16pNc/j46FmTe0La9BAWxbGmExZgjB+ExWlpcZ//x2eeUZr7918syaL116D3buzKZAGDbSU+Oefa1dT69baD2aVYo3JkCUI43dXXQXDhuk6is8/h6uvhiFDtPvp7rvhl1+yYWtUEbjjDt0g46WXdEV2eDgMHgx//eXnFzcmZ7IEYbJN3rz6Hv3DD7B6Nfzf/+mMp2uvhYYNtTfoyBE/B1GgADz1lI5PdO+uC+4qV9YMZtudGnMWSxAmIGrXhhEjtGpsytq2e+45M7i9YYOfAyhbVgv/rVgBrVrpir/KleHVV3WarDHGEoQJrKJFdex4xQod2G7fXge1a9TQskuTJ8Px434MICJCazktXQqNGunspypVdI5u0OyiZExgWIIwQUFEdxydMEG3fnjxRR1D7tr1TKsiMdGPAURF6RSrn3/WjbsHDYKqVbV5c+KEH1/YmOBlCcIEnSuugKef1gQxd65OOho1St+3mzTRQoGHDvnpxZs00RXZP/ygLYkBA3SV9pgxVuPJXHYsQZigFRKiFTMmT9axijff1O0f+vXTmVH33qs9Q36ZAdWyJSxYALNna8XYfv20GOBnn9liO3PZsARhcoSwMF2pnZiovUC3367v1TExWptv5Eg/zFYVgbZttaz49Ola1rZnT23KjBnj58ERYwLPEoTJUUS0F+jjj2HnThg9WldvP/igtiq6d4c5c7L4Q74IxMbC8uUwZYpOle3XT7ug3njDpseaXMuvCUJE2onIehHZJCJDvdyfX0Qme+5fIiKV0twXISKLRSRRRFaJSAF/xmpynuLFtZspPl7fu/v10+TQrp2WIB8yROv2ZZmQEN2YaPlyfaGaNXXT7ooV4cknA7gxhjH+4bcEISJ5gFFAeyAc6CYi4elO6wf85ZyrBgwHXvU8NhT4DLjPOVcbaAmc9FesJudL6WbauVOLBUZFaY2+2rX1+xEjsrC0hwi0aaOD2UuX6vevvaZLxPv3z4ZFHMZkD3+2IGKATc65Lc65E8AkoGO6czoCn3i+nwq0FhEB2gArnXMrAJxze5xzNjJoMpU/vxYLnD5dB7bfflv30H7oIe2Cuu02Xb2dZTNXo6K0fsj69dC3L3z6qbYsbr8d4uKy6EWMCQx/JohywPY0Pyd5jnk9xzmXDOwHSgPXAE5E5ojIchEZ7O0FRKS/iMSLSPyuXbuy/AJMzlamDDz8sPYIrVypSWLxYk0SV12l4xbx8Vk0C6paNV0z8fvvWsrj++914V2rVvDNN9lQbMqYrBesg9ShwHVAD8/X20SkdfqTnHPvO+einHNRYWFh2R2jyUHq1tXx5KQk+PprXVvxwQcQHa2zV//xjyzqGbriCl3lt22b9nFt2gQ33aR9XaNGwcGDWfAixmQPfyaIHUCFND+X9xzzeo5n3KE4sAdtbSxwzu12zh0BZgEN/BiruUyEhur79eTJ8McfuodQ2bKaIGrU0ITx1lvaPXVJihbV1dibN8Mnn+gU2YEDdVn4gw/C2rVZcj3G+JM/E8RSoLqIVBaRfEBXYEa6c2YAvTzfdwa+d845YA5QV0QKeRJHCyAr56MYQ8mSOqb8ww9a3uPNN7Un6LHHoEIF3Xf7gw9g795LeJF8+bSm+dKlup7i1lvh/fe11PgNN2gdKFuhbYKUOD/2jYrITcDbQB5gjHPuJREZBsQ752Z4pq6OA+oDe4GuzrktnsfeBTwJOGCWc87rOESKqKgoFx8f77drMZePDRtg4kStC7Vhg5Ypb9dO11jccos2Bi7Jrl3w4Yc6ZrF9u2aj++/XcrbWVWqymYgsc85Feb3PnwkiO1mCMFnNOR3gnjhRbzt3anLo2FH3tWjbFgoWvIQXSE6GmTN1fu5332lr4847tSsqJibLrsOYjFiCMOYSnTql5cgnTNB1Fnv3QpEius/2HXdomfJLShZr18K//63jFQcP6vTZ//s/TRjFi2fZdRiTniUIY7LQyZMwf75W3fjyS9izR1sWaZNFoUIX+eQHD+pG3u++q9vuFSyoT9q3LzRvrov0jMlCliCM8ZPk5LOTxe7dmhxuvlnf12+66SLHLJzTRRoffaT9WwcO6P4UffpAr166obcxWcAShDHZIDlZK4SnJIs//9RkcdNNurC6ffuL7C06ckSfcMwYnXIVEqIDIH376qh5/vxZfi3m8mEJwphsljJmMWWKjln87386G+r663Uld2ysrr+4YJs3w9ixektKgtKltQR53766GtCYC2QJwpgAOnVKl0BMm6bLHjZt0uONG+uyiFtv1UV6F/yk8+ZpF9S0aTow0rAh9OihA9tXXZWl12ByL0sQxgQJ57QE+bRpekv5L1ur1plkERWlvUg+270bxo/Xwe1ly3Qg+/rrdeFGp05QokRWX4bJRSxBGBOktm/XyrPTpulg96lT+uG/Y0cdXmjVSvcn8tn69TqoPX68NlXy5dMR8+7d9eslzcU1uZElCGNygL17YdYsTRbffKNj04UKaUWODh30/d3nnqOUWVATJsCkSbqZUbFi2qLo3l0zT2ioPy/H5BCWIIzJYY4d0xbFzJl6+/13Pd6gwZlk4XNX1KlTOvspZZXfgQNadfbOO6FrVy1LfkF9WiY3sQRhTA6WMm6RkiwWLdJNkK64QqfQdugAN96oBWQzdeyYNlMmTNAnO35cmyWdOul2qtddB3ny+P2aTPCwBGFMLrJnD8yere/vs2fDvn06hbZFCy0q2Latbj+R6aLr/fv1SaZO1Sc6dkx3WbrtNl240bKlPrHJ1SxBGJNLJSdri2LmTN0IaY2nKH65cpos2rXTMYxMJzIdOqQDH1On6hMdPgylSulo+e2365PYgrxcyRKEMZeJ7dth7lxtEHz7rTYS8uTRYYaUhNGwYSZDDkeP6pNMnQr/+Y8+SbFiOq3q9tuhTZssqHlugoUlCGMuQ8nJEBenyWL27DP7b5cure/x7drp2EWGK7pPnNBS5FOn6nzcPXt03m3r1powOnTQ5orJsSxBGGPYvVtbFbNnw5w5Wv4DdLzihhv0Pb9FC20seJVSbGrGDL399pseb9hQa4fccgtERlrF2RzGEoQx5iynT8OKFVqtY948rRt19OiZ7qiUhNG4sa61O0fK1Kr//EeTxS+/6LHy5TVRxMbqIPcFrfIzgWAJwhiToePHYfHiMwlj6VJNIoUL6zYUN9ygtzp1zjN+8eefOrj9n//o+MXhw/rgNm00YbRrd5HVCY2/BSxBiEg74F/ontQfOudeSXd/fuBToCGwB7jTObc1zf0VgTXA8865NzJ6LUsQxmSdffvgxx/PJIx16/R4mTLaMEi51azppUfp2DFdmJfSutixQ4/Xq6c1z9u1gyZNbAptkAhIghCRPMAG4EYgCVgKdHPOrUlzzgAgwjl3n4h0BW5zzt2Z5v6pgAOWWIIwJnB27NCx6nnz9L0/KUmPZ5ownIOVK8+MlP/0k45lFC2qTZKUqVUVK2b/RRkgcAniWvSTf1vPz08COOdeTnPOHM85i0UkFPgvEOaccyJyK9AUOAwcsgRhTHBwTsen58/X2wUljAMH4Pvvdc3F7NmwbZser1XrTOuiWTMbu8hGgUoQnYF2zrl7PD/3BBo55wamOWe155wkz8+bgUbAMeBbtPXxOJYgjAlazsGWLWcnjJRepSuu0JlRzZppFY+6ddNU8nBO+65SksWPP+q02oIFNbtkOvBhskJGCSJYyzk+Dwx3zh2SDKbMiUh/oD9ARWuiGhMQIrpddtWq0K/fuQlj/nz4/HM9t1gxaNpUk0WzZkJ0dC0KPFoLHn1UB7bnz9eEMW8ePPaYPqhMGZ1SlZIw7G892wRlFxOwAKjgOa0EcBp41jk38nyvZy0IY4LX77/r8MPChXpLKQmSLx9ER59pYTRtmqYsyPbtZwY+5s07s3CjevUzyaJVKyhZMhCXlGsEqospFB2kbg3sQAepuzvnEtOc8wBQN80gdSfnXJd0z/M81sVkTK6yZw/8/POZpBEfr2PXItqj1LSpTnS69lptmQgOEhPPJIv587XFIaJ1z1u31l30mjSxMiAXKJDTXG8C3kanuY5xzr0kIsOAeOfcDBEpAIwD6gN7ga7OuS3pnuN5LEEYk6sdOaJlQVJaGEuW6Hg2QFiYLthLSRhRUVA430l9QErC+OUXzTChoRATc2aU3BJGpmyhnDEmRzl1SruhFi/W26JFsGGD3pcnjy6puPbaM0mj0t8OIYt+PjPosXSpPknevOcmjEKFAndhQcgShDEmx9uzRxsKixZp0oiL014m0NlSjRrpLSYGomocpERimoQRH+89YTRuDEWKBO6igoAlCGNMrpOcDKtXn50wUloZADVqaC5o1Ahiah8m4sBP5F/0w9kJI08e3cc1ZZT8uuu0T+syYgnCGHNZ+Osvfe+Pi9PbkiVnJj/ly6fFZmNioFHEUaIlnupb5hDys2fQ4/hxPbFmTU0YKberr87VFWotQRhjLkvO6WzZlIQRF6cJJKVrqmhRbUA0jEymYfHNNDz0I9XXziBk0U+6URJohVpduKFfa9fOVft2W4IwxhiPU6dg7VpNFsuW6W3FCq0xCJo06kc6Gl69m6g8v9Lwz2+onjCFkD88y8OLFdOxi5RR8kaNoHjxwF3QJbIEYYwxGTh5UpPGsmXawjg3aTjq1zpGg5JbqX8yjsikmdTaOIO87sSZxRtNmpy5Va2aY7qlLEEYY8wFSps00rY0jh7V+/Plc9S5+iD1i24i8shiIrfNoN6RRRTlkA50pySLxo11170gXY9hCcIYY7LAqVM6UyohAX799czX3bvPnFOtzH7qF1xP5KGfqL/nWyJYyVUh/0Mi6p6Zi9u4sU6zCoIihJYgjDHGT5yDnTvPTRpb0tSEKFXwCBEFNlD38C9EnIgngpXULpZE4ZjamixSEkcApthagjDGmGy2f792Sa1apXsmrVwJq1c7Dh3SsQnhNFXzJRFxIp66rCSClURU2EeVpmUJiYnSKob16/u9a8oShDHGBIHTp2Hr1jMJY+VKWLXyNBs3Cc5p4igkR6jl1lCH1dSWNdSueIjajYpQsWUVJCZaN9XIly/LYrIEYYwxQezIES1Wu3KltjgSfz1O4mrHH3vP7KxXlAOEs4baIeuoXX4/dSJDqd2qDFe1qYPUvPjxDEsQxhiTA+3dq4kjcbUjcfEBEpcfY/WWwuw6eqZ+VHH20b7kEibubXtRr5ETd5QzxpjLXqlSKRU/BO4vDuiCvF27IHHlKRJ/+JPERfspWbisX17fEoQxxuQwYWHQsnUeWrYuC/gnOQAEfhKuMcaYoGQJwhhjjFeWIIwxxnhlCcIYY4xXfk0QItJORNaLyCYRGerl/vwiMtlz/xIRqeQ5fqOILBORVZ6v1/szTmOMMefyW4IQkTzAKKA9EA50E5HwdKf1A/5yzlUDhgOveo7vBm5xztUFegHj/BWnMcYY7/zZgogBNjnntjjnTgCTgI7pzukIfOL5firQWkTEOferc26n53giUFBE8vsxVmOMMen4M0GUA7an+TnJc8zrOc65ZGA/UDrdObcDy51zx9O/gIj0F5F4EYnftWtXlgVujDEmyBfKiUhttNupjbf7nXPvA+97zt0lIr9nY3gX429o91lukFuuJbdcB9i1BKtgv5arz3eHPxPEDqBCmp/Le455OydJRELRdeR7AESkPPAVcLdzbnNmL+acy/5C6hdIROLPV/Mkp8kt15JbrgPsWoJVTr4Wf3YxLQWqi0hlEckHdAVmpDtnBjoIDdAZ+N4550SkBPA1MNQ597MfYzTGGHMefksQnjGFgcAcYC3wuXMuUUSGiUis57SPgNIisgl4FEiZCjsQqAY8KyIJnlsZf8VqjDHmXH4dg3DOzQJmpTv2bJrvjwF3eHnci8CL/owtQN4PdABZKLdcS265DrBrCVY59lpyzX4QxhhjspaV2jDGGOOVJQhjjDFeWYLwAxHZ6qkjlSAi5+yDKiLFReQ/IrJCRBJFpE8g4vSFiJQQkakisk5E1orItenuFxF5x1NPa6WINAhUrBnx4Tp6eOJfJSKLRKReoGLNTGbXkua8aBFJFpHO2R2jr3y5FhFp6flbShSRHwMRZ2Z8+P+VY/7m0wrqhXI5XCvn3PkWxzwArHHO3SIiYcB6ERnvKUkSbP4FzHbOdfZMVy6U7v72QHXPrRHwrudrsMnsOn4DWjjn/hKR9ujAYjBeB2R+LSm10F4F5mZ3cBcow2vxTHn/N9DOObctiGczZvZvkpP+5lNZgggMBxQVEQGKAHuB5MCGdC4RKQ40B3oDeP4zp/8P3RH41Olsh188n6TKOuf+yNZgM+DLdTjnFqX58Rd0YWfQ8fHfBOBB4AsgOtuCu0A+Xkt34Evn3DbPOX9mZ4y+8PE6csTffHrWxeQfDpjrKVXe38v9I4FawE5gFfCwc+50dgboo8rALuBjEflVRD4UkcLpzvGl5lag+XIdafUDvsme0C5YptciIuWA29DWXDDz5d/lGqCkiMz3/D3dnf1hZsqX68gpf/NnsQThH9c55xqg3S8PiEjzdPe3BRKAq4BIYKSIFMvWCH0TCjQA3nXO1QcOc2YxY07i83WISCs0QQzJvvAuiC/X8jYwJAe8AflyLaFAQ+Bm9O/m7yJyTbZGmTlfriOn/M2fxRKEHzjndni+/onWk4pJd0oftNnsnHOb0P7vmtkbpU+SgCTn3BLPz1PRP4S0fKm5FWi+XAciEgF8CHR0zu3JxvguhC/XEgVMEpGtaAmbf4vIrdkWoe98uZYkYI5z7rBnTG8BEGwTCHy5jpzyN38WSxBZTEQKi0jRlO/RSrSr0522DWjtOecKoAawJTvj9IVz7r/AdhGp4TnUGliT7rQZwN2e2UyNgf3BNP4Avl2HiFQEvgR6Ouc2ZHOIPvPlWpxzlZ1zlZxzldA3qwHOuWnZGqgPfPz/NR24TkRCRaQQOnFgbTaGmSkfryNH/M2nZ4PUWe8K4CsdiyIUmOCcmy0i9wE450YDLwBjRWQVIGh3QLCWA34QGO+ZmbEF6JPuWmYBNwGbgCPoJ6VglNl1PIvuRfJvz79dchBX4MzsWnKSDK/FObdWRGYDK4HTwIfOufQfuIJBZv8mOelvPpWV2jDGGOOVdTEZY4zxyhKEMcYYryxBGGOM8coShDHGGK8sQRhjjPHKEoQxl0BEKomIz9MuRaS3iFzlz5iMySqWIIzJXr3RcgvGBD1LEMZculARGe/ZB2CqiBQSkYYi8qOnwNwcESnr2ZchCl1QlSAiBUXkWRFZKiKrReR9T7VPY4KCLZQz5hKISCW0rs51zrmfRWQMWgriNrSm0y4RuRNo65zrKyLzgcedc/Gex5dyzu31fD8O+Nw5959AXIsx6VmpDWMu3Xbn3M+e7z8DngLqAN96GgR5gPPVp2olIoPRDWZKAYmAJQgTFCxBGHPp0jfDDwKJzjmvW4GmEJEC6G5pUc657SLyPFDAPyEac+FsDMKYS1dRzuxB3B3dkS4s5ZiI5BWR2p77DwJFPd+nJIPdIlIELc1tTNCwBGHMpVuPbgy1FigJjEDf7F8VkRXoRjFNPOeOBUaLSAJwHPgALQc/B1iarVEbkwkbpDbGGOOVtSCMMcZ4ZQnCGGOMV5YgjDHGeGUJwhhjjFeWIIwxxnhlCcIYY4xXliCMMcZ49f9eEkzSw1CQ3QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import minimize\n",
    "\n",
    "def lattice_spacing_in_fm_two_loop(beta, lambda_l_in_GeV):\n",
    "    Nc = 3\n",
    "    beta0 = 1./(4.*np.pi)**2.*(11./3.*Nc)\n",
    "    beta1 = 1./(4.*np.pi)**4.*(34./3.*Nc**2.)\n",
    "    inv_lambda_l_in_fm = 0.1973/lambda_l_in_GeV\n",
    "    g2 = 2*Nc / beta\n",
    "    return inv_lambda_l_in_fm*(beta0*g2)**(-beta1/2./beta0**2.)*np.exp(-1./2./beta0/g2)\n",
    "\n",
    "# determine the Lambda parameter by minimizing the difference\n",
    "beta_match = 6.92\n",
    "lambda_l_in_GeV=minimize(lambda l_GeV: abs(lattice_spacing_in_fm_two_loop(beta_match, l_GeV)\n",
    "                                 - lattice_spacing_in_fm_wilson_action(beta_match)), 0.05,\n",
    "                              method = 'Nelder-Mead', tol=1e-15).x[0]\n",
    "\n",
    "print(\"Wilson Gauge Lambda_L / GeV\",lambda_l_in_GeV)\n",
    "\n",
    "\n",
    "betas = np.arange(5.7,6.92,0.05)\n",
    "fig, ax = plt.subplots()\n",
    "plt.xlabel(\"beta\")\n",
    "plt.ylabel(\"a / fm\")\n",
    "ax.plot(betas, [lattice_spacing_in_fm_wilson_action(beta) for beta in betas],\n",
    "        ls='-', c='red', label=\"Non-perturbative result\")\n",
    "ax.plot(betas, [lattice_spacing_in_fm_two_loop(beta, lambda_l_in_GeV) for beta in betas],\n",
    "        ls='-', c='blue', label=f\"Two-loop result (Lambda_L = {lambda_l_in_GeV:.3g} GeV)\")\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "plt.xlabel(\"g^2\")\n",
    "plt.ylabel(\"a / fm\")\n",
    "ax.plot([6/b for b in betas], [lattice_spacing_in_fm_wilson_action(beta) for beta in betas],\n",
    "        ls='-', c='red', label=\"Non-perturbative result\")\n",
    "ax.plot([6/b for b in betas], [lattice_spacing_in_fm_two_loop(beta, lambda_l_in_GeV) for beta in betas],\n",
    "        ls='-', c='blue', label=f\"Two-loop result (Lambda_L = {lambda_l_in_GeV:.3g} GeV)\")\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b890176",
   "metadata": {},
   "source": [
    "We first note that even for $a=0.03$ fm or $a^{-1} \\approx 6.6$ GeV, this expansion converges rather poorly.\n",
    "We should, however, also note that the expansion in terms of one coupling constant $g_1$ can converge differently from the expansion in a different coupling constant $g_2$.  So it may be worth exploring expanding, e.g., in the $\\overline{\\textrm{MS}}$ coupling instead!\n",
    "\n",
    "By matching perturbation theory with lattice at $\\beta=6.92$ we find $\\Lambda_L \\approx 0.00628$ GeV.\n",
    "This is vastly different to what one finds in the $\\overline{\\textrm{MS}}$ scheme!\n",
    "\n",
    "One can show that the poor convergence of lattice perturbation theory, i.e., the\n",
    "expansion in the bare lattice coupling $g$ and the large hierarchy of $\\Lambda$ parameters\n",
    "are related, [see this paper](https://arxiv.org/pdf/hep-lat/9209022.pdf),\n",
    "where we also find\n",
    "$$\n",
    "\\begin{align}\n",
    "\\Lambda_\\overline{\\textrm{MS}} \\approx 29 \\Lambda_L\n",
    "\\end{align}\n",
    "$$\n",
    "and\n",
    "$$\n",
    "\\begin{align}\n",
    "g^2 = g^2_\\overline{\\textrm{MS}}(\\mu) ( 1 - g_\\overline{\\textrm{MS}}(\\mu) ( \\beta_0\\log(\\pi/a/\\mu)^2  + 0.3088(1) ) + O(g_\\overline{\\textrm{MS}}^4)\n",
    "\\end{align}\n",
    "$$\n",
    "(Note the additional $4\\pi$ factor absorbed in $\\beta_0$ in this paper compared to here.)\n",
    "\n",
    "For concrete numbers and $\\mu=\\pi/a$ we find\n",
    "$$\n",
    "\\begin{align}\n",
    "g^2 = g^2_\\overline{\\textrm{MS}}(\\pi/a) ( 1 - 0.3088(1) g^2_\\overline{\\textrm{MS}}(\\pi/a) ) + O(g_\\overline{\\textrm{MS}}^4)\n",
    "\\end{align}\n",
    "$$\n",
    "such that the $\\overline{\\textrm{MS}}$ coupling is actually larger compared to the\n",
    "bare coupling $g$.  In general, however, the coefficients in terms of this\n",
    "larger coupling constant have a better convergence property."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd8793c3",
   "metadata": {},
   "source": [
    "## Phase transitions\n",
    "\n",
    "We have already established that correlation functions of operators on the\n",
    "lattice that are displaced by $n$ sites, after subtraction of possibly non-vanishing vacuum expectation values,\n",
    "decay exponentially as $e^{-n/\\xi}$ for a theory for which the first non-vacuum eigenstate has a finite\n",
    "energy gap to the vacuum.  Such a gap is typically related to the mass of a particle and we therefore\n",
    "refer to it as a **mass gap**.\n",
    "\n",
    "Note that $\\xi$ is given in lattice units, i.e., it gives the typicall falloff distance in terms of lattice\n",
    "spacings.  The continuum limit as we have discussed it so far, therefore corresponds to a diverging\n",
    "correlation length $\\xi$.\n",
    "\n",
    "Such diverging correlation lengths are typical for a system undergoing a second order phase transition.  Interestingly, at a second order phase transition, one also observes **universality**, i.e., the details\n",
    "of the interactions at the lattice scale become irrelevant and the system is dominated by its\n",
    "symmetry structure.  Different lattice regulators therefore fall into different **universality classes** depending\n",
    "on which symmetry they have or restore in the $a\\to 0$ limit.\n",
    "\n",
    "In our subsequent discussion of the renormalization group, we will see how such universality can arise."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a9b88a36",
   "metadata": {},
   "source": [
    "## Exercise: continuum limit of improved gauge theory\n",
    "\n",
    "As a warmup exercise for the remaining topics in this chapter, let us consider modifying the Wilson action to\n",
    "$$\n",
    "\\begin{align}\n",
    "S &= \\beta \\sum_x \\sum_{\\mu<\\nu} \\left( c_0 ( 1 - P_{\\mu\\nu}(x)) + c_1 ( 2 - R_{\\mu\\nu}(x) - R_{\\nu\\mu}(x)) \\right)\n",
    "\\end{align}\n",
    "$$\n",
    "with scalar plaquette and 2x1 rectangle terms\n",
    "$$\n",
    "\\begin{align}\n",
    "P_{\\mu\\nu}(x) &= \\frac1{N_c} \\textrm{Re}\\: \\textrm{Tr}\\: U^{(1x1)}_{\\mu\\nu}(x) \\,, \\\\\n",
    "R_{\\mu\\nu}(x) &= \\frac1{N_c} \\textrm{Re}\\: \\textrm{Tr}\\: U^{(2x1)}_{\\mu\\nu}(x) \\,, \\\\\n",
    "U^{(1x1)}_{\\mu\\nu}(x) &= U_\\mu(x) U_\\nu(x+a \\hat{\\mu}) U_\\mu^\\dagger(x + a \\hat{\\nu}) U_\\nu^\\dagger(x) \\,, \\\\\n",
    "U^{(2x1)}_{\\mu\\nu}(x) &= U_\\mu(x) U_\\mu(x+a\\hat{\\mu}) U_\\nu(x+ 2a \\hat{\\mu}) U_\\mu^\\dagger(x + a\\hat{\\mu} + a \\hat{\\nu}) U_\\mu^\\dagger(x + a \\hat{\\nu}) U_\\nu^\\dagger(x) \\,,\n",
    "\\end{align}\n",
    "$$\n",
    "and\n",
    "$$\n",
    "\\begin{align}\n",
    "\\beta &= \\frac{2 N_c}{g^2} \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "We remember from chapter 6 that\n",
    "$$\n",
    "\\begin{align}\n",
    "U^{(1x1)}_{\\mu\\nu}(x) &= \\exp\\left(i a^2 g F_{\\mu\\nu}(x) + O(a^3)\\right)\n",
    "\\end{align}\n",
    "$$\n",
    "and find in a straightforward computation that\n",
    "$$\n",
    "\\begin{align}\n",
    "U^{(2x1)}_{\\mu\\nu}(x) &= \\exp\\left(i 2 a^2 g F_{\\mu\\nu}(x) + O(a^3)\\right) \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "Therefore in $S$ the coefficient of the $F_{\\mu\\nu}^2$ operator has\n",
    "a prefactor\n",
    "$$\n",
    "\\begin{align}\n",
    "c_0 + 8 c_1 \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "Since one of the three parameters $\\beta$, $c_0$, and $c_1$ is redundant, we often fix\n",
    "$$\n",
    "\\begin{align}\n",
    "c_0 + 8 c_1 = 1\n",
    "\\end{align}\n",
    "$$\n",
    "and consider the theory with parameters $(\\beta,c_1)$.\n",
    "\n",
    "We now generate ensembles with different values for $\\beta$ and $c_1$ and study\n",
    "the resulting lattice spacing and string tensions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7000b61b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import gpt as g;\n",
    "import numpy as np;\n",
    "from matplotlib import pyplot as plt;\n",
    "\n",
    "def generate_ensemble(Ls, Lt, beta, c1, Nthermalize, Nmax, Nskip):\n",
    "    L = [Ls, Ls, Ls, Lt]\n",
    "\n",
    "    grid = g.grid(L, g.double)\n",
    "    \n",
    "    w = g.qcd.gauge.action.improved_with_rectangle(beta, c1)\n",
    "    \n",
    "    rng = g.random(\"test\", \"vectorized_ranlux24_24_64\")\n",
    "    U = g.qcd.gauge.unit(grid)\n",
    "    Nd = len(U)\n",
    "\n",
    "    # improved actions with rectangle term have a larger\n",
    "    # footprint, so need masks that accommodate this\n",
    "    mask = [g.complex(grid) for i in range(4)]\n",
    "    assert all([l % len(mask) == 0 for l in L])\n",
    "    pos = g.coordinates(grid)\n",
    "    for i, m in enumerate(mask):\n",
    "        m[:] = 0\n",
    "        m[pos[np.sum(pos, axis=1) % len(mask) == i]] = 1\n",
    "\n",
    "    g.default.set_verbose(\"su2_heat_bath\", False)\n",
    "    markov = g.algorithms.markov.su2_heat_bath(rng)\n",
    "    plaquette_heatbath = []\n",
    "    for it in range(Nmax):\n",
    "        plaq = g.qcd.gauge.plaquette(U)\n",
    "        plaquette_heatbath.append(plaq)\n",
    "        if it % (Nmax//20) == 0:\n",
    "            g.message(f\"SU(2)-subgroup heatbath {it} has P = {plaq}\")\n",
    "        for m in mask:\n",
    "            for mu in range(Nd):\n",
    "                markov(U[mu], w.staple(U, mu), m)\n",
    "        if it > Nthermalize and it % Nskip == 0:\n",
    "            g.default.push_verbose(\"io\", False)\n",
    "            g.save(f\"{Ls}c{Lt}_PR_{beta}_{c1}/su3.{it}\",U)\n",
    "            g.default.pop_verbose()\n",
    "            \n",
    "    \n",
    "    fig, ax = plt.subplots()\n",
    "    ax.plot(range(len(plaquette_heatbath)), plaquette_heatbath, marker='+', ls='', c='red', label=\"Heatbath\")\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "\n",
    "#for beta in [5.5, 5.6, 5.7, 5.8, 5.9]:\n",
    "#    for c1 in [-0.01,-0.005,0.0,0.001]:\n",
    "#        if not os.path.exists(f\"8c8_PR_{beta}_{c1}/su3.105\"):\n",
    "#            print(beta, c1)\n",
    "#            generate_ensemble(8, 8, beta, c1, 50, 300, 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8d02e2b5",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.optimize import curve_fit\n",
    "\n",
    "g.default.set_verbose(\"io\", False)\n",
    "\n",
    "def jackknife_covariance_estimator(f, x):\n",
    "    N = len(x)\n",
    "    X = sum(x) / N\n",
    "    mean = f(X)\n",
    "    def outer_sqr(a):\n",
    "        return np.outer(a,a)\n",
    "    return sum([outer_sqr(f((N*X - x[j])/(N-1)) - mean) for j in range(N)])*(N-1)/N\n",
    "\n",
    "def V(t0, configurations):\n",
    "    U = g.load(configurations[0])\n",
    "\n",
    "    Wt = [{},{}]\n",
    "    \n",
    "    for t in [t0,t0+1]:\n",
    "        for r in range(1,5):\n",
    "            Wt[t-t0][r] = g.qcd.gauge.transport(U,[g.qcd.gauge.path().f(3,t).f(nu,r).b(3,t).b(nu,r)\n",
    "                                     for nu in range(3)])\n",
    "        for r in [1,2]:\n",
    "            Wt[t-t0][np.sqrt(2.)*r] = g.qcd.gauge.transport(U, \n",
    "                                            [g.qcd.gauge.path().f(3,t).f(nu,r).f(rho,r).b(3,t).b(rho,r).b(nu,r)\n",
    "                                             for nu in range(3) for rho in range(3) if nu != rho])\n",
    "\n",
    "    Wlc = []\n",
    "    for conf in configurations:\n",
    "        U = g.load(conf)\n",
    "        \n",
    "        for i in range(4):\n",
    "            U = g.qcd.gauge.smear.stout(U, rho=1.0/12.0,orthogonal_dimension=3)\n",
    "    \n",
    "        print(conf, end=\"\\r\")\n",
    "        Wlc.append([[sum([g.sum(g.trace(l)).real for l in wti[r](U)]) for wti in Wt] for r in Wt[0]])\n",
    "     \n",
    "    Wlc = np.array(Wlc)\n",
    "    Wl_mean = np.mean(Wlc,axis=0)\n",
    "    V_mean = [np.log(Wl_mean[i,0]/Wl_mean[i,1]) for i in range(len(Wl_mean))]\n",
    "    rs = [r for r in Wt[0]]\n",
    "    V_cov = jackknife_covariance_estimator(lambda x: np.array([np.log(x[i,0]/x[i,1]) for i in range(len(Wl_mean))]),\n",
    "                                          Wlc)\n",
    "    V_err = [V_cov[i,i]**0.5 for i in range(len(V_mean))]\n",
    "    print()\n",
    "    return rs, V_mean, V_err, V_cov\n",
    "\n",
    "def lattice_spacing(configurations):\n",
    "    def model(r,*p):\n",
    "        return p[0] + p[1]/r + p[2]*r\n",
    "\n",
    "    def model_gradient(r,*p):\n",
    "        return np.array([r**0,r**-1,r]).T\n",
    "    \n",
    "    rs1, Vm1, Ve1, Vc1 = V(1, configurations)\n",
    "    rs2, Vm2, Ve2, Vc2 = V(2, configurations)\n",
    "\n",
    "    par_mean, par_cov = curve_fit(model, rs2, Vm2, p0=[0.5,0.5,0.5], sigma=Vc2, absolute_sigma=True, jac=model_gradient)\n",
    "    a_in_fm = ((par_mean[1] + 1.65)/par_mean[2])**-0.5 * 0.5\n",
    "\n",
    "    a_in_fm_dpar1 = -0.5 * ((par_mean[1] + 1.65)/par_mean[2])**-1.5 * 0.5 * 1.0 / par_mean[2]\n",
    "    a_in_fm_dpar2 = 0.5 * ((par_mean[1] + 1.65)/par_mean[2])**-1.5 * 0.5 * 1.0 * (par_mean[1] + 1.65) / par_mean[2]**2\n",
    "    a_in_fm_dpar = np.array([0,a_in_fm_dpar1,a_in_fm_dpar2])\n",
    "\n",
    "    a_in_fm_err = np.dot(a_in_fm_dpar,np.dot(par_cov,a_in_fm_dpar))**0.5\n",
    "    print(a_in_fm, a_in_fm_err)\n",
    "\n",
    "    def err_f(r,p,cov_p):\n",
    "        return np.dot(model_gradient(r,*p), np.dot(cov_p, model_gradient(r,*p)))**0.5\n",
    "\n",
    "    rrange = np.arange(0.1, 5.0, 0.01)\n",
    "    fy = np.array([model(r,*par_mean) for r in rrange])\n",
    "    fyerr = np.array([err_f(r,par_mean,par_cov) for r in rrange])\n",
    "\n",
    "    fig, ax = plt.subplots()\n",
    "\n",
    "    plt.ylim(0,2.5)\n",
    "    plt.xlim(0,5)\n",
    "\n",
    "    plt.xlabel(\"r/a\")\n",
    "    plt.ylabel(\"aV(r)\")\n",
    "    ax.fill_between(rrange,fy-fyerr,fy+fyerr,alpha=0.1,color=\"blue\")\n",
    "    ax.plot(rrange,fy,c=\"blue\")\n",
    "    \n",
    "    ax.errorbar(rs2, Vm2, Ve2, fmt=\"o\", label=\"V(r) with t=2\")\n",
    "    ax.errorbar(rs1, Vm1, Ve1, fmt=\"o\", label=\"V(r) with t=1\")\n",
    "\n",
    "    plt.legend()\n",
    "    plt.show()\n",
    "\n",
    "    return (a_in_fm, a_in_fm_err, rs2, Vm2, Ve2, par_mean, par_cov)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "56d7b256",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.5_-0.01/su3.295\n",
      "8c8_PR_5.5_-0.01/su3.295\n",
      "0.15810282203051035 0.003498859247574835\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.5_-0.005/su3.295\n",
      "8c8_PR_5.5_-0.005/su3.295\n",
      "0.1868994068833518 0.004208694244922055\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.5_0.0/su3.295\n",
      "8c8_PR_5.5_0.0/su3.295\n",
      "0.21718319816941065 0.013083435455633596\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.5_0.001/su3.295\n",
      "8c8_PR_5.5_0.001/su3.295\n",
      "0.2539060665234701 0.010557821408040645\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.6_-0.01/su3.295\n",
      "8c8_PR_5.6_-0.01/su3.295\n",
      "0.12164264923548306 0.00292567534000254\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.6_-0.005/su3.295\n",
      "8c8_PR_5.6_-0.005/su3.295\n",
      "0.15047127976527147 0.0034932025893514157\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.6_0.0/su3.295\n",
      "8c8_PR_5.6_0.0/su3.295\n",
      "0.20086459794990957 0.00634641716209961\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.6_0.001/su3.295\n",
      "8c8_PR_5.6_0.001/su3.295\n",
      "0.2138736834711988 0.006997106174368788\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.7_-0.01/su3.295\n",
      "8c8_PR_5.7_-0.01/su3.295\n",
      "0.09192037765225937 0.0026468316372939005\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.7_-0.005/su3.295\n",
      "8c8_PR_5.7_-0.005/su3.295\n",
      "0.1293335414227953 0.0024809239670201167\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.7_0.0/su3.295\n",
      "8c8_PR_5.7_0.0/su3.295\n",
      "0.1573308742079209 0.0025845724865758432\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEKCAYAAAD9xUlFAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAAjk0lEQVR4nO3deXxV1b338c+PECQCMmORgFBFEBAZIsUBrpSqWC3glaL0qTgWXlq1Dg8+2t7aPq2t3muvoh2uWuFSHgegjlgHispVFAfCPImlToQwRBAUIZDh9/yxTk4SSMi4szN836/XeSVnn33O+eWI57v3WmuvZe6OiIgIQLO4CxARkfpDoSAiIkkKBRERSVIoiIhIkkJBRESSFAoiIpIUWSiYWXczW2Rm681snZn9pIx9zjazPWa2MnG7M6p6RESkYs0jfO184FZ3X25mbYBlZrbQ3dcfst9id78wwjpERKSSIjtTcPet7r488ftXwAagW1TvJyIiNRflmUKSmfUEBgPvlfHw6Wa2CsgG/re7ryvj+VOAKQCtWrUa2rdv3wirFRFpfJYtW/a5u3euaD+LepoLM2sNvAH8xt2fOeSxY4BCd99rZt8FHnD33kd6vYyMDM/MzIyuYBGRRsjMlrl7RkX7RTr6yMxSgaeBxw8NBAB3/9Ld9yZ+fwlINbNOUdYkIiLli3L0kQEzgA3ufl85+3wjsR9mNixRz86oahIRkSOLsk/hTOAyYI2ZrUxs+ynQA8DdHwImANeaWT6wH7jUNW2riEhsIgsFd38LsAr2+QPwh6hqEJHo5eXlkZWVRW5ubtylCNCyZUvS09NJTU2t1vPrZPSRiDReWVlZtGnThp49e5JoDZaYuDs7d+4kKyuLXr16Ves1NM2FiNRIbm4uHTt2VCDUA2ZGx44da3TWplAQkRpTINQfNf1voVAQkTp3ycPvcMnD78RdhpRBoSAiIkkKBRGpU8+t2MKKz3bz3se7OPOe13luxZYavd6oUaNYsGBBqW3Tp0/n2muvBWDr1q1ceGHZc27m5OQwZsyYar/3GWecAcAnn3zCE088kdw+a9Ysrr/++gqfP336dPbt21fp97vvvvvo168fAwcOZPTo0Xz66adVL7oCCgURqTPPrdjCHc+s4WBBIQBbdu/njmfW1CgYJk2axJw5c0ptmzNnDpMmTQLCF+mPfvSjw56Xn59P586d6dq1K2+//Xa13nvJkiXA4aFQWVUNhcGDB5OZmcnq1auZMGECt912W5XfsyIKBRGpM/cu2Mj+vIJS2/bnFXDvgo3Vfs0JEybw4osvcvDgQSB8QWdnZzNixAgAnn766eTZwKxZsxg7dizf/va3GT16NADjx4/n8ccfP+x1f/zjHzN//nwALrroIq666ioAZs6cyc9+9jMAWrduDcDtt9/O4sWLGTRoEPfffz8A2dnZjBkzht69e5f55f3ggw+SnZ3NqFGjGDVqVKX+1lGjRnH00UcDMHz4cLKysir1vKpQKIhIncnevb9K2yujQ4cODBs2jJdffhkIZwkTJ07EzPj4449p3749Rx11VHL/5cuX89RTT/HGG28AkJGRweLFiw973REjRiS3b9myhfXrw1IwixcvZuTIkaX2veeeexgxYgQrV67k5ptvBmDlypXMnTuXNWvWMHfuXDZv3lzqOTfeeCPHHXccixYtYtGiRQBccsklDBo06LDb7NmzD6tvxowZnH/++dX6zI5EF6+JSJ05rl0aW8oIgOPapdXodYuakMaNG8ecOXOYMWMGEPoTOncuPVv0OeecQ4cOHZL3u3TpQnZ29mGvOWLECKZPn8769evp168fX3zxBVu3buWdd97hwQcfrLCm0aNH07ZtWwD69evHp59+Svfu3Y/4nLlz51b4ugCPPfYYmZmZyWCrTQoFEakz087rwx3PrCnVhJSWmsK08/rU6HXHjRvHzTffzPLly9m3bx9Dhw4Nr52WdtiFXK1atSp1Pzc3l7S0w0OpW7du7N69m1deeYWRI0eya9cu5s2bR+vWrWnTpk2FNZU8O0lJSSE/P7/C51xyySVs3Hh4U9ott9zC5MmTAXj11Vf5zW9+wxtvvFHqPWqLQkFE6sz4wWHxxdueWs3BgkK6tUtj2nl9kturq3Xr1owaNYqrrroq2cEMcNJJJ/HJJ58c8bkffvghAwYMKPOx4cOHM336dF5//XV27tzJhAkTmDBhwmH7tWnThq+++qrKdRc9r1OnsGJARWcKK1asYOrUqbzyyit06dKlyu9XGepTEJE6NX5wNwb3aMe3enXg7du/XeNAKDJp0iRWrVpVKhRatWrFCSecwKZNm8p93qJFi7jgggvKfGzEiBHk5+dz4oknMmTIEHbt2pXswC5p4MCBpKSkcOqppyY7mitjypQpjBkzptIdzdOmTWPv3r18//vfZ9CgQYwdO7bS71VZka+8Vtu08ppI/bJhwwZOPvnkuMso17PPPsuyZcu46667ynx85MiRPP/887Rv376OK4tOWf9NKrvympqPRKRRu+iii9i5s+y1u3JycrjlllsaVSDUlJqPRKTRu+aaa8rc3rlzZ8aPH1+3xdRzCgUREUlSKIiISJJCQUTq3n9fEG5S7ygUREQkSaEgInVr9TzIWgqfvgX3Dwj3a6ApTZ395ptvMmTIEJo3b85TTz1V9YIrQaEgInVn9Tx44UYoOBDu79kc7tcgGJrS1Nk9evRg1qxZ/OAHP6jye1WWQkFE6s5rv4K8QybEy9sftldTU5o6u2fPngwcOJBmzaL76lYoiEjd2VPO/P/lba+Epjp1dlR0RbOI1J226aHJqKztNdDUps6OkkJBROrO6DtDH0LJJqTUtLC9BprS1NlRUyiISN0ZODH8fP760NnctnsIhKLt1dRUps6uC+pTEJG6NXAipJ8Gx58FN6+tcSAUaQpTZy9dupT09HT++te/MnXqVPr371/p96osTZ0tIjWiqbPrH02dLSJSDk2dXTVqPhKRGqvvLQ5Naersmv63UCiISI20bNmSnTt31vtgaArcnZ07d9KyZctqv4aaj0SkRtLT08nKyiInJyfuUoQQ0unp1b/uQ6EgIjWSmppKr1694i5Daomaj0REJCmyUDCz7ma2yMzWm9k6M/tJGfuYmT1oZpvMbLWZDYmqHhERqViUzUf5wK3uvtzM2gDLzGyhu68vsc/5QO/E7VvAfyV+iohIDCI7U3D3re6+PPH7V8AGoNshu40DZnvwLtDOzLpGVZOIiBxZnfQpmFlPYDDw3iEPdQNKTpmYxeHBgZlNMbNMM8vUCAcRkehEHgpm1hp4GrjJ3b+szmu4+yPunuHuGYdOgysiIrUn0lAws1RCIDzu7s+UscsWoOQE4+mJbSIiEoMoRx8ZMAPY4O73lbPbfGByYhTScGCPu2+NqiYRETmyKEcfnQlcBqwxs5WJbT8FegC4+0PAS8B3gU3APuDKCOsREZEKRBYK7v4WYBXs48CPo6pBRESqRlc0i4hIkkJBRESSFAoiIpKkUBARkSSFgoiIJCkUREQkSaEgIiJJCgUREUlSKIiISJJCQUREkhQKIiKSpFAQEZEkhYKIiCQpFEREJEmhICIiSQoFERFJUiiIiEiSQkFERJIUCiIikqRQEBGRJIWCiIgkKRRERCRJoSAiIkkKBRERSVIoiIhIkkJBRESSFAoiIpKkUBARkSSFgoiIJCkUREQkSaEgIiJJCgUREUlSKIiISJJCQUREkiILBTObaWY7zGxtOY+fbWZ7zGxl4nZnVLWIiEjlNI/wtWcBfwBmH2Gfxe5+YYQ1iIhIFUR2puDubwK7onp9ERGpfXH3KZxuZqvM7GUz61/eTmY2xcwyzSwzJyenLusTEWlS4gyF5cDx7n4q8HvgufJ2dPdH3D3D3TM6d+5cV/WJiDQ5sYWCu3/p7nsTv78EpJpZp7jqERGRGEPBzL5hZpb4fViilp1x1SMiIhGOPjKzJ4GzgU5mlgX8AkgFcPeHgAnAtWaWD+wHLnV3j6oeERGpWGSh4O6TKnj8D4QhqyIiUk/EPfpIRETqEYWCiIgkKRRERCRJoSAiIkkKBRERSVIoiIhIUpVCwcxamVlKVMWIiEi8jhgKZtbMzH5gZi+a2Q7gA2Crma03s3vN7MS6KVNEROpCRRevLQJeBe4A1rp7IYCZdQBGAf9uZs+6+2PRlikiIpXlDnl54bZ/PzSvwmXKFe36HXfPO/wNfRfwNPC0maVWqVoRkaitngev/Qr2ZEHbdBh9JwycGHdVkSgoKB0AX30FH34IGzfCBx+E2z//WfnXO2IouHteog9hnbv3LW+fKv0FIiJRWj0PXrgR8vaH+3s2h/vQoIPBHfLziwNg3z7Yvh3Wrg1f/Bs3hjD48EPIzQ3Pad4cvvlNyMiArKzKvU+FJxXuXmBmG82sh7t/VpM/SkQkcq/9qjgQiuTtD9sbSCiUbP7JzYW9e8OX/YYNxQHwwQeQnV38nPbtoW9fuPTS8LNvXzjpJGjXDtq0CbfKqGxLU3tgnZm9D3xdXLiPrewfKSJSJ/aUc0hc3vaYlWz+yc0NR/+rVxd/8RedAexP5FxKCvTqBYMHw6RJ0KcP9OsHxx8PaWnQsmU4Q0hNhWbVuOigsqHw86q/tIhIDNqmhyajsrbHrKj55+DB4qP/deuKv/w3boTNJUpv2zYc8U+YEH6efHIIgPbtQwCkpoYAqEpHckWO+FJmZh68UdE+tVeSiEj1LT3hBgYs+zfS7GBy235vwdoTbuC0OqqhZPv/gQOwa1do+1+3DtavLw6BvXvD/s2aQc+eMGBACIA+faB//9AfcPTR0KJFcQCEpcmiU+GQVDN7Gni+ZH+CmbUAzgIuJwxbnRVZhSIiVXDT+t4MzbuG25rP4zjbSbZ35D/yJ7JsfW/ejqDB+9D2/y1bYOXK4i//otE/+flh/6OPDl/6Y8eGI/+TT4ZTToEOHULTT2pq9Zt+akNFoTAGuAp40sx6AbuBNMJFb38Hprv7ikgrFBGpguzd+9nCWcw/eFap7bZ7fznPqLzCwuIA+Prr0PyzalXoAC7qBN66tXj/Y48NzT6jRoWfp5wSQqDk0X9KSvRH/1VR0ZDUXOBPwJ8S1yN0Ava7++46qE1EpMqOa5fGljIC4Lh2aVV6naIO4IMHYffu8OW/Zk344i8KgJLNP9/8JgwdWtzuP2gQdO9e847fulZRn8JLwOPAc+7+NbD1SPuLiMRt2nl9uOOZNezPK0huS0tNYdp5fcp9TskO4KwsWLGiePx/Rc0/AwaEAGjfvnTbf0NVUekPA5cC081sEfAk8KK7Hzzy00RE4jF+cDcA7l2wkezd+zmuXRrTzuuT3F4UALm54Qt/xYrQAVxW80+XLuGLf9So4qP/vn1DMBR9+TeEo/+qsMoMHDKzo4HvEQLidOBl4Al3XxhteYfLyMjwzMzMun5bEWlgSo4A+vrr0PSzfHk4A9iwIXQEH9r8UzTsc8AAGDIkNP80hqN/ADNb5u4ZFe1XqT/T3fcBc4G5ZjYQ+AswGdA02iISu5IB8OWX4ei/qAlo/fow/LNo6oejjgpf/hdeGI7+Tz01nAF06BD/yJ/6oFKhYGbHAhMJZwpdgXnAFdGVJSJStpIBsGsXLFtW3AS0fj384x/hMYBWrcIX/yWXhKP/oUPDz1at6m7cf0NTUUfzj4BJQB/CrKjT3H1JXRQmIlIyAHbsgKVLSwfARx+FYaIQ5vjp1w+uuAIGDgyTwPXtWzz6p6E3/9SVij6m04G7gdeAtkBvMxtZ9KC7vxlhbSLShJQMgC1b4P33SwfAZyWm4+zSJVzxe955oeknIwNOOKG4/b8pN//UVEXXKVwFYGbXAD8B0oGVwHDgHeDbEdcnIo1Ufn4YAvrZZ/Dee6U7gUuOAEpPDwEwYUJxAPToUdz+r+af2lXZE6qfAKcB77r7KDPrC/w2urJEpDEpeQbw7ruhH2DNmhAC27eHfczC7J9F7f6DB8OwYeGq4MYw+qehqOzHnOvuuWaGmR3l7h+YWflXgohI7WiAK4gVXQm8fXtxAKxaFQKg5Pz/vXrBaaeF0T8ZGeH3Dh1CE1CKxjXGprKhkGVm7YDngIVm9gXwaVRFiQgNYgWxormAcnJCE9DSpWEtgHXrSvcB9OgRmn4uvzwEwLBh0KlT8dw/Un9U6uK1Uk8w+xdCp/MrcVzZrIvXpMm4f0A56wJ0h5vXHr494rOKotlAd+0KX/7vvx9mA127Fj75pHi/bt1C88/AgeHof9gw+MY31AEct1q9eK2kI62tICK1qCoriEVwVpGXF674zcwMzUBFHcH//GcICAhf9gMGwMUXhwD41rega1cFQEOmrhuR+qoqK4jVcF3igoKwGMyGDbBkSTgTKJoSuuhCsE6dwtTPF1xQHADduysAGhuFgkh9NfrO0kf/AKlpYfshfE8WZY3MLGt7UTNQVha8/XZxM9Dq1WGKCAgTvvXvD1deGZp/zjgjrAx21FEKgMZOoSBSXw2cyNJPvqD78nvp4p+zwzqx+ZRpnFbGkf92OvENcsrc3ik/rAfw/vvwzjvFo4GKRgKlpMBJJ8F3vxs6gc84I/QHtGypTuCmSKEgUk89t2ILdyw9nv15DyS3pS1N4e7uW5LTQBe5++D3uTv1UY4usS7xPm/Bb/O+z8JTwnxABYnlBbp1CyOBrr4aTj89NAW1a6frACSI7J+Bmc0ELgR2uPuAMh434AHgu8A+4Ap3Xx5VPSINzb0LNpZaKAZgf14B9y7YWGptgO3b4Y2Uc7g9j8PWJX52zzn07ATnnhv6AIYPD/0AmghOyhPlscEs4A/A7HIePx/onbh9C/ivxE8RIaw1XN72++4rHhH0z3/C0Sf3Ydf5B5lfWLwu8VEpKdx3eR8mnKYAkMqLLBTc/U0z63mEXcYBsz1cKPGumbUzs67uriU/RYCu7dLKDIa8PWnc+u/Qtm2YCuLii+Gss7rxRVt4aMlGtpax2phIZcXZitgNKDneLiux7bBQMLMpwBSAHj161ElxInXt4MFwHcBbb4UO4e3b+1A4eA3NUoubkJoVpjD2+D5MWRGmiS49IVw3Jo9UCEjNNIiuJXd/BHgEwhXNMZcjUmPuYYnIpUvhjTfC0NDMzDBKCKBNGxg8uBvHpsA/Wmxk98H9dG2Xxm06+peIxRkKW4DuJe6nJ7aJNDqFhWF6iLffhv/5n9AfsGoV7E+0DvXoAaNHw5lnwogR4SKxFi3ArBvhBFqkbsQZCvOB681sDqGDeY/6E6SxKCyEzZvDWcCbb4bJ4jZsCMNCmzULK4JdemkIgJEjw4VhuiZA6oMoh6Q+CZwNdDKzLOAXQCqAuz8EvEQYjrqJMCT1yqhqEYlaQQF8+CG89lroE3jvveJJ4o46KkwPff31IQDOOgs6d9aIIKmfohx9NKmCxx34cVTvLxKlggLYtAlefRUWLQodw0VXCB9zTLgg7LLL4OyzwzQRrVvHWq5IpTWIjmaRuBUWhusBFi4MfQLvvBPmDoJwNfDw4XDDDaFf4NRTQ3+ASEOkUBApQ2EhfPxx8ZnAkiWhjwDC9QHDh8N114UQGDw4DA0VaQwUCiKEIaLbtoUzgYULYfFi+DSxtuAxx4QpIqZOhe98B4YMUQhI46VQkCZr797w5f/KK+FsYN26cIbQqlUIgauvDmcCGRlqDpKmQ6EgTUZBQZg2esGC0Cy0dGm4TiAlJfQD3HILnHdeuFYgLS3uakXioVCQRssdtmyBF18MQbB4MXz+eXisVy+YNCnMHjp6dFhVTEQUCtLQHbJYff7Zd7Lkq4m88EIIgrVrQzh06BCuDzj33HA2cMIJuk5ApCwKBWm4Vs8j//kbaF6QG+7v2czBp2/goedhzrqJnHoq/J//AxdeGPoItIiMSMUsXEPWcGRkZHhmZmbcZUiMCgvD0pInvNSXzs0Onxlll3XlwJQP6No1huJE6ikzW+buGRXtpyW4pUHIzQ19A9dcEyaPO/106Gjbyty3nW9TIIhUk06opd764gt44QV47jl4/XXYsycMDR0xIjQLZed0JN0+P+x52YUdSa/7ckUaBZ0pSL2yZQs88ACMGgXHHguXXx6uITj3XHjiCcjJCcNJb7gBHm3xQ/Z56QsI9nkLHm3xw5iqF2n4dKYgscvOhnnzwu2990KfQXo6XHUV/Ou/hknlyrp4bNAFU7jz2Xxu8jnJxeqncylnXTClzv8GkcZCoSCxyM6Gv/41BMG774Yg6NULbr4ZJk4MVxE3q+A8NqxAdh2XLBhNttYlFqkVCgWpMzk58OSTxUFQUBAWl7npprDgzNChFQfBocYP7qYQEKlFCgWJVG5u6CiePTv0BeTlwfHHw403hiA47TRdRCZSnygUpNYVFoZlKP/ylxAIe/ZAx45w5ZUweXIYTlrVMwIRqRsKBanYIVNJMPpOGDjxsN02bYJHHw1NRJ99FpahHDMmjCC64ALNNCrSECgU5MjKmEoi//kbwj+cgRM5cACefhoeeSQsUA/hTOCOO0LzULt2MdUtItWiUJAj2vfynRxdFAgJzQty+fJvd/LzGRN54okw8+ixx4app6dOhd69YypWRGpMoSBH1HJ/2VNJtD6wjT/+MUw7/aMfwbhxWo1MpDFQKMgRZRd2JL1ZGVNJeEc++ijMQyQijYfGgEi5VqyA+w+WP5WEAkGk8VEoSCnu8Le/hQVphgyBGS9P4acHp5BV2IlCN7IKO3GnT2GQppIQaZTUfCQA5OfD3Llwzz1htbJjj4Vf/AKuu64bS7ZoKgmRpkKh0MQdOAAzZ8K998LHH4dpJ/70p3ChWcuWYZ/xXTSVhEhToVBoog4cgIceCmcG27ZB//7w2GPh2oKUlLirE5G4KBSamPz8cGZw112weXOYhO7Pfw5XHGsOIhFRR3MTUVgYzgT69AkXmLVrB/Pnw9KlYWF7BYKIgEKhSXj9dRg0CC67DJo3Dx3Kq1bB976nMBCR0hQKjdg//hHOAkaPDlNRzJwJ69eHRWwUBiJSFoVCI/Tll2G9gv79w/rGP/95mMH0yivViSwiR6aO5kbEPaxqdtNNsH07TJoE//Ef0E2jSUWkknSm0Eh89BGce24YUtqhAyxeDI8/rkAQkaqJNBTMbIyZbTSzTWZ2exmPX2FmOWa2MnG7Jsp6Goul8x9m2y9PpPAXbdn6yxN5+BcPM2AALFkSrjtYtQrOPDPuKkWkIYqs+cjMUoA/AucAWcBSM5vv7usP2XWuu18fVR2NzdL5DzNg2b+RZgfBoCs5XMa/kf1DuOpnUzn++LgrFJGGLMozhWHAJnf/yN0PAnOAcRG+X5PQffm9IRBKONoOcu1x9yoQRKTGogyFbsDmEvezEtsOdbGZrTazp8yse1kvZGZTzCzTzDJzcnKiqLXB6OJl//1d/PA1D0REqirujuYXgJ7uPhBYCPylrJ3c/RF3z3D3jM6dO9dpgfXJggWQXVj237/DOtVxNSLSGEUZCluAkkf+6YltSe6+090PJO4+CgyNsJ4Gq6AAfvpTOP98+N3Gaew/ZNGb/d6CzUOmxVSdiDQmUYbCUqC3mfUysxbApcD8kjuYWdcSd8cCGyKsp0H6/HM4+2y4+2645BK4a+ZU1g69i210ptCNbXRm7dC7OG3s1LhLFZFGILLRR+6eb2bXAwuAFGCmu68zs18Bme4+H7jRzMYC+cAu4Iqo6mmI1qwJ01Rs2xamuZ6a+N4/bexUSITANxI3EZHaYO4edw1VkpGR4ZmZmXGXEblnn4XJkyEtDZ57Ds44I+6KRKQhM7Nl7p5R0X5xdzRLGe67Dy6+GHr1gmXLFAgiUncUCvWIO9x6a7idfz68+y50L3OQrohINDQhXj2Rnw9XXBHmK7riCnj0Uc1oKiJ1T2cK9cDBgzBuXAiE228P6x4oEEQkDjpTiFleHlx0Ebz0Evzud6HpSEQkLgqFGOXlwfjxIRD+8z/hllvirkhEmjo1H8UkP7/0GYICQUTqA4VCDNzD0pgvvhhWRlOTkYjUFwqFGNx2Gzz2WPg5TVMWiUg9olCoYw88EJqLJk8Oq6SJiNQnCoU69PLLoanonHNgxgwwi7siEZHSFAp15IMPYNIkOOEEeOopaK5xXyJSDykU6sCePfC970GzZqFz+Zhj4q5IRKRsOl6NmDtcdhl8/DG88gqceGLcFYmIlE+hELEHH4QXXoBf/xq+8524qxEROTI1H0UoMzMMOx01KiynKSJS3ykUIvL11zBxIrRvD3PmhP4EEZH6Ts1HEbn11uJ+hC5d4q5GRKRydPwagddeg0cegWuugfPOi7saEZHKUyjUsq+/hquvhvT0sKymiEhDouajWnbbbfDpp/D3v0ObNnFXIyJSNTpTqEUrVsDDD4d5jc45J+5qRESqTqFQS9zhuuvC2cHvfhd3NSIi1aPmo1oyeza8+y5Mnw6dO8ddjYhI9ehMoRZ8+SXcfjv06wfXXx93NSIi1aczhVrw29/Ctm3w5JOQkhJ3NSIi1aczhRratg1+/3u44AI4++y4qxERqRmFQg398peQmwt33x13JSIiNadQqIGPPoKZM+HSS+GUU+KuRkSk5hQKNfDrX5f+KSLS0CkUqmnzZnjiiXCW8M1vxl2NiEjtUChU0z33QH4+/OxncVciIlJ7FArVkJMDs2bBRRdBnz5xVyMiUnsUCtXwwAOwb5/OEkSk8VEoVNGBA/DnP8O//AsMHhx3NSIitSvSUDCzMWa20cw2mdntZTx+lJnNTTz+npn1jLKe2jBnDuzYATfeGHclIiK1L7JQMLMU4I/A+UA/YJKZ9Ttkt6uBL9z9ROB+4N+jqqe2PPgg9OgB48bFXYmISO2L8kxhGLDJ3T9y94PAHODQr9JxwF8Svz8FjDYzi7CmGlmyBJYvh2uv1RxHItI4RTkhXjdgc4n7WcC3ytvH3fPNbA/QEfi85E5mNgWYkrh7wMzWRlJxJd1xR7jVA5045LNqwvRZFNNnUUyfRbFKjZVsELOkuvsjwCMAZpbp7hkxl1Qv6LMops+imD6LYvosiplZZmX2i7L5aAvQvcT99MS2Mvcxs+ZAW2BnhDWJiMgRRBkKS4HeZtbLzFoAlwLzD9lnPnB54vcJwOvu7hHWJCIiRxBZ81Gij+B6YAGQAsx093Vm9isg093nAzOA/2dmm4BdhOCoyCNR1dwA6bMops+imD6LYvosilXqszAdmIuISBFd0SwiIkkKBRERSWpQoVDRtBlNhZnNNLMdcV+vUR+YWXczW2Rm681snZn9JO6a4mJmLc3sfTNblfgs/m/cNcXJzFLMbIWZ/S3uWuJmZp+Y2RozW1nR0NQG06eQmDbjQ+AcwoVwS4FJ7r4+1sJiYGYjgb3AbHcfEHc9cTKzrkBXd19uZm2AZcD4JvrvwoBW7r7XzFKBt4CfuPu7MZcWCzO7BcgAjnH3C+OuJ05m9gmQ4e4VXsjXkM4UKjNtRpPg7m8SRms1ee6+1d2XJ37/CthAuFK+yfFgb+JuauLWMI76apmZpQMXAI/GXUtD05BCoaxpM5rk//xStsQsu4OB92IuJTaJJpOVwA5gobs31c9iOnAbUBhzHfWFA383s2WJaYPK1ZBCQaRcZtYaeBq4yd2/jLueuLh7gbsPIswgMMzMmlzzopldCOxw92Vx11KPnOXuQwizVv840QRdpoYUCpWZNkOaoET7+dPA4+7+TNz11AfuvhtYBIyJuZQ4nAmMTbSjzwG+bWaPxVtSvNx9S+LnDuBZQnN8mRpSKFRm2gxpYhKdqzOADe5+X9z1xMnMOptZu8TvaYRBGR/EWlQM3P0Od093956E74nX3f2HMZcVGzNrlRiEgZm1As4Fyh252GBCwd3zgaJpMzYA89x9XbxVxcPMngTeAfqYWZaZXR13TTE6E7iMcDS4MnH7btxFxaQrsMjMVhMOoha6e5MfjikcC7xlZquA94EX3f2V8nZuMENSRUQkeg3mTEFERKKnUBARkSSFgoiIJCkUREQkSaEgIiJJCgWRWmJmt5vZ/4q7DpGaUCiI1JAFzYDzgL/HXY9ITSgURKrBzHom1vaYTbg6tDvQwt1zzOx7ZvZeYi7/V83s2JjLFak0hYJI9fUG/uTu/YGhwGuJ7W8Bw919MGHundtiqk+kyprHXYBIA/ZpiQVsxgD/nfg9HZibWACoBfBxHMWJVIfOFESq7+sSvw8jzCsD8HvgD+5+CjAVaFnXhYlUl0JBpIbMrD/wgbsXJDa1pXha98vjqUqkehQKIjV3PlBy1slfAn81s2VAhWviitQnmiVVpIbMbCEw2d23xl2LSE0pFEREJEnNRyIikqRQEBGRJIWCiIgkKRRERCRJoSAiIkkKBRERSfr/BqHrxM3de1kAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.7_0.001/su3.295\n",
      "8c8_PR_5.7_0.001/su3.295\n",
      "0.1687132194522321 0.003445718886308644\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.8_-0.01/su3.295\n",
      "8c8_PR_5.8_-0.01/su3.295\n",
      "0.09203400893716623 0.0029059888297853723\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.8_-0.005/su3.295\n",
      "8c8_PR_5.8_-0.005/su3.295\n",
      "0.1006433813360252 0.0025320263861270975\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.8_0.0/su3.295\n",
      "8c8_PR_5.8_0.0/su3.295\n",
      "0.1294152500355272 0.0033037499656259793\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.8_0.001/su3.295\n",
      "8c8_PR_5.8_0.001/su3.295\n",
      "0.14188732621769773 0.003144769408094298\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.9_-0.01/su3.295\n",
      "8c8_PR_5.9_-0.01/su3.295\n",
      "0.08010883389432717 0.0029945879102213032\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.9_-0.005/su3.295\n",
      "8c8_PR_5.9_-0.005/su3.295\n",
      "0.10991342324028512 0.0024540176462637463\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.9_0.0/su3.295\n",
      "8c8_PR_5.9_0.0/su3.295\n",
      "0.10996826346055882 0.003386320680349076\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "8c8_PR_5.9_0.001/su3.295\n",
      "8c8_PR_5.9_0.001/su3.295\n",
      "0.10904119309010185 0.003992690555767243\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "betas = [5.5, 5.6, 5.7, 5.8, 5.9]\n",
    "c1s = [-0.01,-0.005,0.0,0.001]\n",
    "lattice_spacings = {}\n",
    "for beta in betas:\n",
    "    for c1 in c1s:\n",
    "        lattice_spacings[(beta,c1)] = lattice_spacing([f\"8c8_PR_{beta}_{c1}/su3.{it}\" for it in range(105,300,5)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "83a097ad",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No error bars here as they are difficult to see and errors are sufficiently small\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,10))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "ax.set_xlabel('beta')\n",
    "ax.set_ylabel('c1')\n",
    "ax.set_zlabel('a / fm')\n",
    "X = np.array([[beta for beta in betas] for c1 in c1s])\n",
    "Y = np.array([[c1 for beta in betas] for c1 in c1s])\n",
    "Z = np.array([[lattice_spacings[(beta, c1)][0] for beta in betas] for c1 in c1s])\n",
    "ax.plot_wireframe(X, Y, Z)\n",
    "\n",
    "print(\"No error bars here as they are difficult to see and errors are sufficiently small\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "4f22906f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Note the rotated angle.  Continuum limit now in the back.  1sigma shifted as transparent.\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,10))\n",
    "ax = fig.add_subplot(111, projection='3d')\n",
    "\n",
    "ax.set_xlabel('beta')\n",
    "ax.set_ylabel('c1')\n",
    "ax.set_zlabel('sigma / (GeV/fm)')\n",
    "X = np.array([[beta for beta in betas] for c1 in c1s])\n",
    "Y = np.array([[c1 for beta in betas] for c1 in c1s])\n",
    "Z = np.array([[\n",
    "    lattice_spacings[(beta, c1)][5][2]*0.1973/lattice_spacings[(beta, c1)][0]**2.\n",
    "    for beta in betas]\n",
    "    for c1 in c1s\n",
    "])\n",
    "Z_err = np.array([[\n",
    "    lattice_spacings[(beta, c1)][6][2,2]**0.5*0.1973/lattice_spacings[(beta, c1)][0]**2.\n",
    "    for beta in betas]\n",
    "    for c1 in c1s\n",
    "])\n",
    "\n",
    "print(\"Note the rotated angle.  Continuum limit now in the back.  1sigma shifted as transparent.\")\n",
    "ax.view_init(elev=20., azim=130)\n",
    "ax.plot_wireframe(X, Y, Z)\n",
    "ax.plot_wireframe(X, Y, Z + Z_err, alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21306ce9",
   "metadata": {},
   "source": [
    "The additional parameter $c_1$ leads to the same theory in the continuum limit but may reduce/enhance discretization errors.  The additional operator corresponding to $c_1$ is therefore irrelevant to the physics of the continuum limit.\n",
    "\n",
    "We also show the string tension $\\sigma$ as a function of $a$ for the case $c_1=-0.01$, which has a flatter continuum extrapolation compared to the $c_1=0$ case of chapter 7:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "b2aaab47",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "plt.xlabel(\"a/fm\")\n",
    "plt.ylabel(\"sigma/(GeV/fm)\")\n",
    "#plt.ylim(0.69,1.2)\n",
    "\n",
    "# merge all\n",
    "a_in_fm = []\n",
    "sigma_in_GeV = []\n",
    "sigma_in_GeV_err = []\n",
    "for b in [5.5, 5.6, 5.7]:\n",
    "    ame = lattice_spacings[(b, -0.01)]\n",
    "    a_in_fm.append(ame[0])\n",
    "    sigma_in_GeV.append(ame[5][2]/ame[0]**2.*0.1973)\n",
    "    sigma_in_GeV_err.append(ame[6][2,2]**0.5/ame[0]**2.*0.1973)\n",
    "\n",
    "ax.errorbar(a_in_fm, sigma_in_GeV, sigma_in_GeV_err, fmt=\"o\", label=f\"c_1 = {-0.01}, beta in [5.5,5.6,5.7]\")\n",
    "\n",
    "a_in_fm = []\n",
    "sigma_in_GeV = []\n",
    "sigma_in_GeV_err = []\n",
    "for b in [5.5, 5.6, 5.7, 5.8, 5.9]:\n",
    "    ame = lattice_spacings[(b, 0.0)]\n",
    "    a_in_fm.append(ame[0])\n",
    "    sigma_in_GeV.append(ame[5][2]/ame[0]**2.*0.1973)\n",
    "    sigma_in_GeV_err.append(ame[6][2,2]**0.5/ame[0]**2.*0.1973)\n",
    "\n",
    "ax.errorbar(a_in_fm, sigma_in_GeV, sigma_in_GeV_err, fmt=\"o\", label=f\"c_1 = {0.0}, beta in [5.5,5.6,5.7,5.8,5.9]\")\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed1c6960",
   "metadata": {},
   "source": [
    "***Homework***: Repeat the discussion of the continuum limit of the Coulomb coefficient in the static quark potential with $c_1=-0.01$ and $\\beta \\in [5.2,5.3,5.4,5.5,5.6]$.  You may use the above code to generate the needed ensembles."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b0143c0",
   "metadata": {},
   "source": [
    "## Continuum effective theory and Symanzik improvement\n",
    "\n",
    "We constructed our lattice gauge theory by considering the similarities with a continuum theory with Lagrange density\n",
    "$$\n",
    "\\begin{align}\n",
    "{\\cal L} = \\frac12 \\textrm{Tr}\\: F_{\\mu\\nu} F^{\\mu\\nu} \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "In chapter 5, we considered the construction of this theory based on the symmetries of the continuum limit of QCD.\n",
    "Extending this line of reasoning, we can also write down a **continuum effective theory** that has the continuum symmetries for $a=0$ but the reduced lattice symmetries for $a \\neq 0$.  We can do this by adding higher-dimensional operators to the action with explicit lattice spacing factors $a$ such that the total mass dimension of the Lagrange density remains unchanged.\n",
    "\n",
    "If we do this for concreteness in the Euclidean space version, we find to order $a^2$\n",
    "$$\n",
    "\\begin{align}\n",
    "{\\cal L} &= \\frac12 \\sum_{\\mu,\\nu}\\textrm{Tr}\\: F^2_{\\mu\\nu} \\notag\\\\\n",
    "&\\quad + r_1 a^2 \\sum_{\\mu,\\nu}\\textrm{Tr}\\: F_{\\mu\\nu} D^2_\\mu F_{\\mu\\nu} \\notag\\\\\n",
    "&\\quad + r_2 a^2 \\sum_{\\mu,\\nu}\\textrm{Tr}\\: D_\\mu F_{\\nu\\sigma} D_\\mu F_{\\nu\\sigma} \\notag\\\\\n",
    "&\\quad + r_3 a^2 \\sum_{\\mu,\\nu}\\textrm{Tr}\\: D_\\mu F_{\\mu\\sigma} D_\\nu F_{\\nu\\sigma} \\notag\\\\\n",
    "&\\quad + \\ldots \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "What about terms linear in $a$?  Such terms have to violate parity symmetry and are therefore absent.\n",
    "In general, we can only write down terms that are consistent with the symmetries of the lattice action.\n",
    "\n",
    "We can now compute a sufficient number of observables both in lattice gauge theory and using such a continuum\n",
    "effective theory to determine the corresponding coefficients $r_i$ explicitly.\n",
    "Since both theories need to yield the same results for all observables, we first see that pure gauge theory on the lattice does not have linear $a$ errors und that by modifying the lattice gauge action, we may be able to set $r_i=0$ in the corresponding continuum effective action.  Adding additional operators to the lattice action to achieve this is also referred to as **Symanzik improvement**.  If one were to perform a tree-level perturbation theory calculation, one finds that it would be sufficient to set $c_1=-1/12$ in our above example to remove all order $a^2$ errors.  Of course, loop effects violate this statement such that there are $\\alpha_s a^2$ errors left with $\\alpha_s = g^2/(4\\pi)$.\n",
    "\n",
    "If we consider matrix elements of operators different than the Hamiltonian of the system, we also need to consider a continuum effective version of this operator with higher-dimensional terms added to account for the effects of higher powers in $a$.  Therefore it is not sufficient to improve the action, one also has to improve the operators for which one intends to measure matrix elements.\n",
    "\n",
    "Finally, when we perform the matching between the continuum effective theory and a lattice theory, we find that the coefficients $r_i$ can depend on $\\alpha_s(a)$ themselves.  Since the coupling constant itself is scale dependent, a general functional ansatz for a continuum extrapolation in pure gauge theory is\n",
    "$$\n",
    "\\begin{align}\n",
    "f(a) = f_0 + a^2 f_1 + a^2 \\alpha_s(a) f_2 + O(a^4,a^2 \\alpha_s^2) \\,.\n",
    "\\end{align}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d513a00",
   "metadata": {},
   "source": [
    "## Renormalization group\n",
    "\n",
    "We have already seen above that adding a rectangle term to the Wilson gauge action was an **irrelevant** to the\n",
    "continuum limit of the theory but modified discretization errors and the mapping of $\\beta$ to the lattice spacing $a$.  One could, however, also imagine theories for which additional parameters have a **relevant** role to play in the continuum limit of the theory.  An example would be that after adding quarks with mass $m$ to the theory, we must be able to find a family of well-defined continuum limits corresponding to the different physical quark masses.\n",
    "We will now bring more order to this discussion.\n",
    "\n",
    "Consider integrating out short distances (**blocking**) or high momenta following a given scheme in our theory without violating its symmetries.  The long-distance physics will not be modified by such changes on very short distances (see the universality discussion above) such that\n",
    "$$\n",
    "\\begin{align}\n",
    " a &\\to a^\\prime = \\lambda a \\,, \\\\\n",
    " m_{\\rm lat} & \\to m^\\prime_{\\rm lat} = \\lambda m_{\\rm lat}\n",
    "\\end{align}\n",
    "$$\n",
    "for all measured masses/correlation lengths $m_{\\rm lat}$.  In addition discretization errors may also\n",
    "change such that more generally we can consider the effect of such a blocking operation to\n",
    "define a flow in the space of actions\n",
    "$$\n",
    "\\begin{align}\n",
    "S \\to S'\n",
    "\\end{align}\n",
    "$$\n",
    "where we could consider matching both actions $S$ and $S'$ to a continuum effective action\n",
    "$$\n",
    "\\begin{align}\n",
    "S &= \\int dx c_i O_i(x) \\,, \\\\\n",
    "S' &= \\int dx c'_i O_i(x)\n",
    "\\end{align}\n",
    "$$\n",
    "and to consider the\n",
    "effect on the coefficients $c_i$ of the corresponding operators $O_i$ in these actions.\n",
    "Such a blocking operation therefore defines a flow of coefficients\n",
    "$$\n",
    "\\begin{align}\n",
    "c_i \\to c_i^\\prime \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "This operation has the structure of a semigroup and is referred to as the **Wilson renormalization group**.\n",
    "We can consider writing a corresponding flow with lattice spacing for each coefficient\n",
    "$$\n",
    "\\begin{align}\n",
    "c_i(a) \\,.\n",
    "\\end{align}\n",
    "$$\n",
    "\n",
    "If $c_i$ keeps decreasing as $a\\to0$, we call $O_i$ **irrelevant**, if $c_i$ keeps increasing as $a\\to 0$, we call $O_i$ **relevant**.  In other cases, we call $O_i$ **marginal**.\n",
    "\n",
    "The marginal/relevant parameters in the $a\\to0$ limit define the **critical surface** of the theory due to the second-order phase transition at $a\\to 0$ described above.  The fact that the critical surface is typically low-dimensional is they key to understanding **universality** of the quantum field theory continuum limit.  All details of the lattice regulators must correspond to irrelevant operators and we can study different theories on the critical surface.\n",
    "(Again for pure QCD the critical surface is a single point, QCD with $n_f$ quark flavors has a $n_f$ dimensional critical surface corresponding to the physical quark masses.)\n",
    "\n",
    "Finally, we note that the blocking operation can also have a **fixed point** with $\\lambda=1$.  Such a fixed\n",
    "point may be found at $a = 0$ (**ultraviolet fixed point**) or $a \\to \\infty$ (**infrared fixed point**)\n",
    "or also in between.  Note that the neighborhood of a fixedpoint can have attractive and repulsive sub-regions as $a\\to0$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b607217b",
   "metadata": {},
   "source": [
    "## Continuum trajectory\n",
    "\n",
    "Once we understand how many relevant/marginal operators we have in a theory, we can define a **continuum trajectory**\n",
    "as a scheme that fixes all coefficients of relevant/marginal operators by defining a condition for the lattice spacing $a$ and a sufficient number of physical measurements to tune the remaining parameters.  In pure QCD we only have one relevant operator and only need one condition for the lattice spacing.  In QCD with one quark flavor $m$, we have two relevant/marginal operators and we need both a condition for the lattice spacing and an additional condition to tune the quark mass such as the ratio of a corresponding meson mass to the string tension.\n",
    "\n",
    "We then can consider the subset of coefficients that lie on this continuum trajectory, which will define a one-dimensional flow in the lattice spacing $a$."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
