Quantum Field Theory 2
Code  Completion  Credits  Range  Language 

02KTP2  Z,ZK  6  4+2  Czech 
 Lecturer:
 Petr Jizba (guarantor), Martin Štefaňák
 Tutor:
 Václav Zatloukal, Petr Jizba (guarantor), Martin Štefaňák
 Supervisor:
 Department of Physics
 Synopsis:

Lagrange formalism in classical field theory. Canonical quantization of free fields. Interactions of quantized fields. Perturbation expansion of the Smatrix. Feynman diagrams. Quantum electrodynamics. Regularization and renormalization.
 Requirements:

02TEF2, 02KVAN, 02KVAN2
 Syllabus of lectures:

1. Lagrange formalism in the classical field theory.
2. Symmetry and conservation laws. Noether's theorem.
3. Local gauge transformations.
4. Canonical quantization of free fields. Particle interpretation.
5. Interaction of quantized fields. Examples.
6. Perturbative expansion of Smatrix.
7. Relativistically invariant transition amplitudes.
8. Feynman diagrams.
9. Quantum electrodynamics.
10. Regularization a renormalization.
 Syllabus of tutorials:

Solving exercises on the following topics:
1. Lagrange formalism in the classical field theory.
2. Symmetry and conservation laws. Noether's theorem.
3. Local gauge transformations.
4. Canonical quantization of free fields. Particle interpretation.
5. Interaction of quantized fields. Examples.
6. Perturbative expansion of Smatrix.
7. Relativistically invariant transition amplitudes.
8. Feynman diagrams.
9. Quantum electrodynamics.
10. Regularization a renormalization.
 Study Objective:

Knowledge:
Get advanced knowledge of quantum field theory
Skills:
Solving typical examples in quantum field theory
 Study materials:

Key references:
[1] J. Formánkek: „Introduction to Relativistic Quantum Mechanics and Quantum Field Theory“ (in Czech), Karolinum, Praha 2000
Recommended references:
[2] S. Weinberg: The quantum theory of fields, Vol. 1, Cambridge University Press, Cambridge 1995
 Note:
 Timetable for winter semester 2019/2020:
 Timetable is not available yet
 Timetable for summer semester 2019/2020:
 Timetable is not available yet
 The course is a part of the following study plans:

 Matematická fyzika (elective course)