Functional Integral 2

Lecturer:

Petr Jizba (gar.)

Tutor:

Petr Jizba (gar.)

Supervisor:

Department of Physics

Synopsis:

The lecture can serve as a convenient foundation in further study of exactly solvable systems, nuclear physics or supersymmetric quantum field theory. The actual treatment is provided by means of functional integrals. Central part of the lecture revolves around particle physics. In this connection, the quantization of abelian and non-abelian gauge fields will be outlined and the corresponding perturbation treatment of Green's function is discussed via Feynman integrals. We further cover topics such as quantum field theory at finite temperature, renormalization group methods and spontaneous breakdown of symmetry. Essential part of the lecture consists of the problem solving. Handouts are provided.

Requirements:

Knowledge of basic course of physics, quantum mechanics and of subject 02FCI1 - Functional integral 1

Syllabus of lectures:

1. Quantisation of calibration fields, Fadeev-Popov method, ghost fields and perturbative calculation of Green functions

2. Quantum field theory in finite temperature, application on electroweak interactions

3. Spontaneous symmetry breaking, Goldstone theorem and Higgs mechanism

4. Some nonperturbative methods in quantum field theory, Borel resumation, SU(2) instantons, solitons, topological defects

Syllabus of tutorials:

Study Objective:

Knowledge:

Quantization of systems using functional integral method, construction of Green functions and quantum field theory

Abilities:

Orientation in methods of solving field systems using functional integral

Study materials:

Key references:

[1] A.M. Polyakov, Gauge Fields and Strings, (Harwood, New York, 1987)

[2] H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, Polymer Physics and Financial markets, (World Scientific, Singapore, 2009)

Recommended references:

[3] J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, (Claredon Press, Oxford, 2002)

Note:

Time-table for winter semester 2011/2012:

Time-table is not available yet

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: