Seminar on quantum field theory 1

Course guarantor:

Petr Jizba

Lecturer:

Petr Jizba

Tutor:

Petr Jizba, Matěj Vaculčiak

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 Feynmans functional integral.

Requirements:

Syllabus of lectures:

1.Schwinger's identities [4h]

2.Ward-Takahashi identities [4h]

3.Renormalization a renormalization group

-Dimenzional regularization aand loop integrals [6h]

-Efektivn action a efektiv potentials [4h]

-Mass renormalization and coupling constant renormalization fro scalar fields [3h]

-Multiplicative renormalization [4h]

-BPHZ counterterm renormalization [4h]

-Superficial degree of divergence and renormalizable theories [4h]

-Callan-Symanzik renormgrup equation and its simple solutions [6h]

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] P. Ramond, Field Theory: A Modern Primer: 2nd edition, (Routledge, New York, 2020)

Recommended references:

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

Note:

Further information:

Přednášky jsou pro studenty dostupné na MS Teams

Time-table for winter semester 2024/2025:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Wed
Thu	roomTR:212 Jizba P. 12:00–13:50 (lecture parallel1) Trojanova 13 roomTR:212 Jizba P. 14:00–15:50 (parallel nr.101) Trojanova 13
Fri

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans:

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