Advanced Topics in Quantum Field Theory

Garant předmětu:

Petr Jizba

Lecturer:

Petr Jizba

Tutor:

Supervisor:

Department of Physics

Synopsis:

The lecture is intended especially for doctorand students and aims at familiarizing the students with advanced passages of quantum field theory. Emphasis will mainly be placed on quantization using Feynman's functional integral which plays a central role in modern applications.

Requirements:

Syllabus of lectures:

1. Stochastic quantization of Parisi and Wu

Applications in particle physics [4h]

2. Non-perturbative methods in quantum field theory

Solitons and their use in condensed phase theory [2h]

Instantons as a means of understanding tunneling phenomena [4h]

3. Topological defects in condensed matter physics

Exact sequence and defect classification using homotopical classes [2h]

Applications in condensed matter physics, particle physics and cosmology [4h]

4. Quantum field theory at final temperatures and densities

Matsubar's diagrammatic approach [2h]

Keldysh-Schwinger's diagrammatic approach [4h]

5. Non-equilibrium quantum field theoretic systems [4h]

Syllabus of tutorials:

Study Objective:

Study materials:

Key literature:

[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 literature:

[3] E. Fradkin, Field Theories of Condensed Matter Physics, (Cambridge University Press, New York, 2013)

[4] H. Kleinert, Particles and Quantum Fields, (World Scientific, London, 2017)

Note:

Time-table for winter semester 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans: