Lecture "Lattice QCD I"

Winter Semester 2020/21
Dozent: Dr. Sara Collins

• Organisation:
• Dates:
  • Lecture: Mo 10:30-12, Fr 10:00-11:30 PHY H33
  • Exercise Class: Tu 8-10 c.t. Online
  • Catchup Computer Labs (OPTIONAL) Online: TBA
• Details:
• 4 SWS Lecture (nr. 52444)
• 2 SWS Exercise (nr. 52445)
• 2 SWS Computer Lab (nr. 52446) (OPTIONAL)


• Please register for the course via GRIPS here

The Lattice QCD I course can be taken as an alternative to the QCD lectures (Veranstaltungs-Nr. 52416, Prof. Schaefer).


• Exercises: these will be provided via GRIPS


• Contents:

The focus of this course is lattice simulations of Quantum Chromodynamics (QCD), the gauge field theory of the strong interaction between quarks and gluons. The lattice formulation of QCD is introduced along with the techniques necessary to extract physical observables. Simpler systems, such as scalar field theories, are used to illustrate formulating theories on a lattice. The topics which will be covered include

• Path integral quantization
• Scalar field theory on the lattice
• Monte Carlo methods
• Gauge theories
• Strong coupling expansion
• Continuum limit and phase transitions
• Fermions on the lattice
• Chiral symmetry on the lattice
• Hybrid Monte Carlo
• Hadron spectroscopy

The Computer Lab exercises will involve simulating QCD. Initially, you will be expected to write your own programs for simulating simpler systems: the harmonic oscillator in 1 dimension and scalar field theory in 2+1 dimensions. For QCD an existing software package will be used.



• Suggested reading:

Books

• C. Gattringer and C. B. Lang, "Quantum Chromodynamics on the Lattice", Springer-Verlag, Berlin, Heidelberg, 2010.
• T. De Grand and C. De Tar, "Lattice Methods for Quantum Chromodynamics", World Scientific, Singapore, 2006.
• J. Smit, "Introduction to Quantum Fields on a Lattice", Cambridge University Press, 2002.
• M. Creutz, "Quarks, gluons and lattices", Cambridge University Press, 1997.
• I. Montvay and G. Muenster, "Quantum fields on a lattice", Cambridge University Press, 1994.
• H. Rothe, "Lattice Gauge Theories an Introduction", World Scientific Lecture Notes in Physics vol 59, 1997.

Articles

• J. B. Kogut, "A review on the lattice gauge theory approach to Quantum Chromodynamics", Rev. Mod. Phys. 55 (1983) 775.
• R. Gupta, "Introduction to Lattice QCD", hep-lat9807028.
• G. P. Lepage, "Lattice QCD for novices", hep-lat0506036.
• C. Morningstar, "The Monte Carlo method in quantum field theory", hep-lat0702020.
• I. Montvay, "Monte Carlo methods in quantum field theory", arXiv:0705.4356.
• M. Creutz and B. Freedman, "A statistical approach to quantum mechanics", Annals Phys. 132 (1981) 427.
• L. Lellouch et al., "Modern perspectives in lattice QCD: Quantum field theory and high performance computing", Proceedings, International School, 93rd Session, Les Houches, France, August 3-28, 2009.
• B. Efron, "The Jackknife, the bootstrap and other resampling plans".
• Many other articles can be found on inspirehep.net or the pre-print archive arXiv.


• Material:
• Advertisement for the lecture (pdf)


• Linux and editor guides:
• Linux/Unix command-line reference card. Taken from FOSSwire.com.
• Vim editor reference card 1
• Vim editor reference card 2
• Vim editor reference card 3
• Vim editor reference card 4
• Emacs editor reference card 1
• Emacs editor reference card 2
• Emacs editor reference card 3


• Contact:
Dr. Sara Collins (eMail)

Speaking hour during the semester: Mo 13-14 or by appointment, outside of semester time, by appointment.

Institut für Theoretische Physik - Lst. Schäfer/Bali/Pleiter
PHY 3.1.18
Universität Regensburg, 93040 Regensburg
+49-941-943-2014

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