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Particles and fields II

Class at Faculty of Mathematics and Physics |
NJSF136

Syllabus

- path integral - transition amplitude, time-ordering, Euclidian space-time, perturbation theory and loop expansion, grassmann variables

- quantization of gauge fields - gauge fixing, Fadeev-Popov quantization, free electromagnetic and Yang-Mills fields, ghosts, θ-vacuums, instantons, projection operators as generators of local gauge transformations

- anomalies - axial anomaly, anomaly in algebra of generators of gauge transformations

- renormalization - finite renormalization, renormalization in quantum field theory, divergences and perturbative renormalization, renormalization in QED and QCD, running coupling constant

- renormalization group equation - renormalization group, Callan-Symanzik equation, Wilson expansion, anomalous dimension, non-perturbative renormalization

Annotation

Contiuation of lecture NJSF134.