TFADPV002 Quantum field theory

Institute of physics in Opava
winter 2023
Extent and Intensity
0/0/0. Type of Completion: dzk.
Guaranteed by
prof. Ing. Peter Lichard, DrSc.
Institute of physics in Opava
Prerequisites
Good knowledge of basic chapters of quantum field theory is expected:
- Relativistic wave equations,
- Lagrange and Hamilton formalism for classical fields,
- Noether 's theorem in field theory, conservation laws,
- Quantization of free fields,
- Fok space for bosons and fermions,
- Operators of energy, momentum and charge of basic fields,
- (Anti) Commutators of field operators in Heisenberg's picture, propagators,
- Wick's theorem,
- Fault development of the Moller operator,
- S-matrices, decay rates, effective cross sections, unitarity condition.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to develop knowledge of basic chapters of quantum field theory (see Prerequisites of the course) and to gain knowledge of more advanced chapters of quantum field theory at the highest level reflecting the current state of research.
Learning outcomes
It depends on the individual study plan of the student.
Syllabus
  • Particular advanced chapters of quantum field theory and their content are selected for the content of the course within the individual study plan so that they are directly related to the topic of the dissertation and at the same time suitably complement parts of other compulsory optional courses of the student's individual study plan. The chapters could be, for example:
    - Reduction formulas,
    - Regularization and renormalization in quantum electrodynamics,
    - Calibration theory of interactions,
    - Effective Lagrangians ,
    - Chiral perturbation theory,
    - Spontaneous symmetry breaking, Nambu-Goldstone boson, Higgs mechanism,
    - Non-abelian calibration symmetry, Ghosts of Fadeev and Popov, BRST invariance,
    - Standard model, theory of great unification,
    - Supersymmetry, solitons, magnetic monopoles.

Literature
  • Formánek J. Úvod do relativistické kvantové mechaniky a kvantové teorie pole 2a, 2b, Karolinum, 2000
  • Maggiore M. A. Modern Introduction to Quantum Field Theory, Oxford University Press, 2005
  • Srednicki M. Quantum Field Theory, Cambridge University Press, 2007
  • Formánek J. Úvod do relativistické kvantové mechaniky a kvantové teorie pole 1, Karolinum, 2004
Teaching methods
self-study, discussions
Assessment methods
exam
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information

The course is also listed under the following terms winter 2020, winter 2021, winter 2022, winter 2024.
  • Enrolment Statistics (winter 2023, recent)
  • Permalink: https://is.slu.cz/course/fu/winter2023/TFADPV002