Seminar on quantum field theory
Code  Completion  Credits  Range 

02SKTP  Z  3  26P+13C 
 Lecturer:
 Tutor:
 Supervisor:
 Department of Physics
 Synopsis:

The lecture aims to introduce the students to advanced topics of quantum field theory. The focus is mainly on quantization with Feynman’s functional integral.
 Requirements:
 Syllabus of lectures:

1. YangMills fields
 Renormalization and renormalization group [6h]
 Quantization of YangMills fields [4h]
 Goldstone theorem and Higgs mechanism [4h]
 Standard model of particle physics [4h]
2. Nonperturbative methods in quantum field theory
 Solitons and their applications [4h]
Instantons and tunnelling phenomena [4h]
3. Topological defects in condensed matter physics
Exact sequences and defects classification with homotopy classes [3h]
Applications in condensed matter physics, particle physics and cosmology [4h]
4. Thermal quantum field theory
Perturbation expansion, Matsubara‘s diagrammatic approach [2h]
Perturbation expansion, KeldyshSchwinger‘s diagrammatic approach [4h]
 Syllabus of tutorials:

Procvičování příkladů na probraná témata – odpovídá osnově přednášky.
 Study Objective:
 Study materials:

Key references:
[1] M. Blasone, P. Jizba and G. Vitiello, Quantum Field Theory and its Macroscopic Manifestations, Boson Condensation, Ordered Patterns and Topological Defects, (Imperial College Press, London, 2011)
[2] A. Altland and B. Simons, Condensed Matter Field Theory, (Cambridge University Press, Singapore, New York, 2013)
Recommended references:
[3] H. Kleinert, Particles and Quantum Fields, (World Scientific, London, 2017)
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans: