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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2020/2021

Quantum Field Theory 1

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Code Completion Credits Range
02KTPA1 Z,ZK 8 4P+2C
Lecturer:
Petr Jizba
Tutor:
Václav Zatloukal
Supervisor:
Department of Physics
Synopsis:

Abstract:

The lecture aims to introduce the students to both fundamental and applied parts of Quantum Field Theory . The focus is in particular on equations of relativistic quantum mechanics, canonical quantization of scalar and bispinor field, perturbation theory (Feynman’s rules) and basics of renormalization. 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:
Syllabus of lectures:

Outline of the lecture:

1. Relativistic wave equations

a)Klein-Gordon’s equation

b)Dirac’s eqaution

2. Lorentz group and its representations

3. Invariance of Dirac’s equation under proper Lorentz transformations, bilinear forms

4. Solutions of Dirac’s equation for free particle

5. Charged relativistic particle in an external electromagnetic field

6. Canonical quantization of a scalar field

7. Algebra of observables and particle interpretation

8. Canonical quantization of the Dirac’s field

9. Symetries and conservation laws, Noether’s theorem

10. Feynman’s propagator for a scalar and the Dirac’s field

11. Interacting fields, Wick’s theorem and perturbation theory

12. Scattering processes, S matrix and Feynman’s rules

13. Cross-section, decay of an unstable particle

14. Renormalization of a φ4 theory

Syllabus of tutorials:

Outline of the exercises:

Solving problems to illustrate the theory from the lecture.

Study Objective:
Study materials:

Key references:

[1] C. Itzykson a J.-B. Zuber, Quantum Field Theory , (Dover Publications, Inc., New York, 2005)

[2] W. Greiner a J. Reinhard, Field Quantization, (Springer, New York, 2012)

Recommended references:

[3] P. Ramond, Field Theory: A Modern Primer, (Westview Press, London, 2001)

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

Note:
Time-table for winter semester 2020/2021:
Time-table is not available yet
Time-table for summer semester 2020/2021:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2021-01-27
For updated information see http://bilakniha.cvut.cz/en/predmet6237606.html