SubjectsSubjects(version: 825)
Course, academic year 2017/2018
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Gauge theories - NJSF137
Czech title: Kalibrační teorie
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 [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: Mgr. Tomáš Sýkora, Ph.D.
Incompatibility : NJSF134, NJSF136
Annotation -
Last update: T_UCJF (18.04.2012)

for undergraduates who finished quantum mechanics and graduates
Literature -
Last update: T_UCJF (20.03.2015)

Ta-Pei Cheng, Ling-Fong Li, Gauge Theory of elementary particle physics, ISBN-13: 978-0198519614

Kerson Huang, Quarks, Leptons & Gauge Fields, ISBN-13: 978-9810206598

Mikio Nakahara, Geometry, Topology and Physics, ISBN-13: 978-0750306065

Syllabus -
Last update: T_UCJF (18.04.2012)

  • 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

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