PSI 2016/2017 - Quantum Field Theory II (David)

Path integral for a non-relativistic particle, Euclidean time formalism

Operators and correlation functions in the path integral formalism, Thermal expectation values

Semiclassical approximation, Momentum operator in the path integral formalism, Functional integral for the Klein-Gordon field

Propagator of the free scalar field, Wick rotations

UV divergence of the two-point function, Wick's Theorem, Perturbation theory, Feynman diagrams

Structure of perturbation theory, Generating functionals

Effective action, Introduction to renormalization

Renormalization of massless φ4 theory at one loop

Renormalization group, Wilsonian renormalization

Local potential approximation, Relationship between Wilsonian and perturbative renormalization

Grassman variables, Berezin calculus, Functional integral quantization for fermions

Classical non-abelian gauge theory