Functional Integral 2
Code  Completion  Credits  Range  Language 

02FCI2  Z  2  2+0  Czech 
 Lecturer:
 Petr Jizba (guarantor)
 Tutor:
 Petr Jizba (guarantor)
 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 nonabelian 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, FadeevPopov 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] 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] 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:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans:

 Experimentální jaderná a částicová fyzika (elective course)