Quantum Field Theory 3

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Physics

Synopsis:

The lecture aims at advanced parts of Feynman’s functional integral. The focus is on broadening the knowledge of modern parts of relativistic and non-relativistic Quantum Field Theory and statistical physics. The content of the lecture can serve as a base for further study in fields of exactly solvable models, theory of critical phenomena, molecular chemistry and biochemistry or quantum gravity.

Requirements:

02KTP1 (02KTPA1), 02KTP2 (02KTPA2)

Syllabus of lectures:

1. Theory of non-abelian Yang-Mills fields, choice of calibration and Faddeev-Popov’s determinant

2. Dimensional regularization

3. Effective action and effective potential

4. Dimensional transmutation and Celleman-Weinberg‘s mechanism

5. Spontaneous symmetry breaking (Higgs mechanism) and collective phenomena

6. Renormalization group, Wetterich-Polchinski functional renormalization group and simple applications

7. Topological systems

8. Quantum Field Theory at finite temperatures

9. Quantum field systems out of equilibrium

Syllabus of tutorials:

Solving problems to illustrate the theory from the lecture

Study Objective:

Knowledge:

Get advanced knowledge of quantum field theory

Skills:

Solving typical examples in quantum field theory

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 time-table has been prepared for this course

The course is a part of the following study plans:

• Kvantové technologie (compulsory course in the program)