## 'Path integrals'

### PD Dr. Falk Bruckmann, Winter term 2017/18

Tuesdays, 12:00-13:35 (sharp, incl. a 5 minute break), 4.1.12 (= seminar room particle physics)

SWS: 2 (ECTS: 3)

requirements: Quantum mechanics I

list of topics:
- Gaussian integrals
- physicist's derivation of the path integral
- harmonic oscillator
- coherent states and their path integral
- perturbation theory
- Wiener process, Brownian motion
- saddle point approximation: solitons and instantons, trace formula
- nonzero temperature and density
- stochastic quantization
- fermions and Grassmann calculus, supersymmetry
- spin systems and dualities
- lattice discretisation: importance sampling, strong coupling expansion, worldline formulation
- electric and magnetic fields
- constrained systems and gauge theories
- symmetries, Ward identities, anomalies
- large N approximation
- resurgence and transseries

contact: office 4.1.02, phone: 943 2002, email: falk.bruckmann@ur.de

(evolving) lecture notes will be available
here

FB, 05.09.2017