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Particles and fields II - NJSF136

Title:	Částice a pole II
Guaranteed by:	Institute of Particle and Nuclear Physics (32-UCJF)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2015
Semester:	summer
E-Credits:	5
Hours per week, examination:	summer s.:2/2, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	Mgr. Tomáš Sýkora, Ph.D.
Is incompatible with:	NJSF137

Annotation -

Last update: T_UCJF (17.05.2011)

Contiuation of lecture NJSF134.

Course completion requirements -

Last update: Mgr. Tomáš Sýkora, Ph.D. (12.06.2019)

Oral exam combined with one problem to solve.

Literature -

Last update: Mgr. Tomáš Sýkora, Ph.D. (12.05.2019)

An Introduction To Quantum Field Theory; Michael E. Peskin, Dan V. Schroeder; Westview Press

Quantum Field Theory;Jean-Bernard Zuber, Claude Itzykson; Dover Publications

The Quantum Theory of Fields I-III; Steven Weinberg; Cambridge University Press

Gauge Theory of elementary particle physics; Ta-Pei Cheng, Ling-Fong Li; Oxford University Press

Requirements to the exam -

Last update: Mgr. Tomáš Sýkora, Ph.D. (12.06.2019)

Oral exam, consisting of solving one assigned problem and three questions connected with topics mentioned in the lecture syllabus.

Syllabus -

Last update: T_UCJF (17.05.2011)

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