Quantum Field Theory 1
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)KleinGordon’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. Crosssection, 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:
 Timetable for winter semester 2020/2021:
 Timetable is not available yet
 Timetable for summer semester 2020/2021:
 Timetable is not available yet
 The course is a part of the following study plans: