Syllabus
- gauge transformation, gauge group, spatial and inner symmetries, unitary symmetry, isospin, represenation of
- (abelian) gauge theory - global and local gauge invariance, Bohm-Aharon effect and Dirac phase, spontaneous symmetry breaking, classical solutions with final energy, magnetic flux quantization, soliton solutions and vortices
- (non-abelian) gauge theory - Li groups and algebras, global and local gauge invariance, topological properties, abelian and non-abelian monopols, Dirac string, symmetry breaking, soliton solutions
- 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
- renormalization - finite renormalization, renormalization in quantum field theory
- renormalization group equation - renormalization group, Callan-Symanzik equation, anomalous dimension, non-perturbative renormalization
Annotation
for undergraduates who finished quantum mechanics and graduates