Seminar on quantum field theory

Garant předmětu:

Petr Jizba

Lecturer:

Petr Jizba

Tutor:

Petr Jizba, Jaroslav Kňap, Václav Zatloukal

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. Yang-Mills fields

- Renormalization and renormalization group [6h]

- Quantization of Yang-Mills fields [4h]

- Goldstone theorem and Higgs mechanism [4h]

- Standard model of particle physics [4h]

2. Non-perturbative 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, Keldysh-Schwinger‘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:

Time-table for winter semester 2023/2024:

Time-table is not available yet

Time-table for summer semester 2023/2024:

Time-table is not available yet

The course is a part of the following study plans:

• Matematická fyzika (elective course)
• Kvantové technologie (elective course)