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PřF:F7040 Quant. electrodynamics - Course Information

## F7040 Quantum electrodynamics

**Faculty of Science**

Autumn 2018

**Extent and Intensity**- 2/1/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
**Teacher(s)**- doc. Franz Hinterleitner, Ph.D. (lecturer)

doc. Franz Hinterleitner, Ph.D. (seminar tutor) **Guaranteed by**- prof. RNDr. Jana Musilová, CSc.

Department of Theoretical Physics and Astrophysics - Physics Section - Faculty of Science

Contact Person: doc. Franz Hinterleitner, Ph.D.

Supplier department: Department of Theoretical Physics and Astrophysics - Physics Section - Faculty of Science **Timetable**- Mon 17. 9. to Fri 14. 12. Tue 18:00–19:50 F4,03017
- Timetable of Seminar Groups:

**Course Enrolment Limitations**- The course is also offered to the students of the fields other than those the course is directly associated with.
**fields of study / plans the course is directly associated with****Course objectives**- Relativistic scalar and vector field equations. Second quantization. Quantum theory of the free electron: spinors, Dirac equation, electrons and positrons. Propagator in spacetime and momentum space representation. Quantum theory of the free electromagnetic field. Interaction picture, perturbation theory of interacting quantum fields. Quantum electrodynamics - general formalism: propagators, Feynman diagrams and rules how to calculate with them. Scattering in an external potential, pair creation, Compton scattering, electron scattering, vacuum polarization and electron self-energy. Exact propagators and vertex functions. Renormalization. Aims: knowledge of the scalar and the Dirac wave equation; Fock state of particle states; ability to construct simple Feynman diagrams; basic understanding of the principles of renormalization
**Learning outcomes**- after absolving the lecture the studentis

- know the Klein-Gordon and the Dirac equations and the mechanism of quantum field theory

- are able to draw simplé Feynman diagrams and calculate the corresponding transition amplitudes

- are familiar with the principle and techniques of renormalization **Syllabus**- Relativistic scalar and vector field equations.
- Second quantization. Quantum theory of the free electron: spinors, Dirac equation, electrons and positrons.
- Propagator in spacetime and momentum space representation.
- Quantum theory of the free electromagnetic field.
- Interaction picture, perturbation theory of interacting quantum fields.
- Quantum electrodynamics - general formalism: propagators, Feynman diagrams and rules how to calculate with them. Scattering in an external potential, pair creation, Compton scattering, electron scattering, vacuum polarization and electron self-energy.
- Exact propagators and vertex functions. Renormalization.

**Literature**- PESKIN, Michael E. and Daniel V. SCHROEDER.
*An introduction to quantum field theory*. Cambridge, Mass.: Perseus books, 1995. xxii, 842. ISBN 0-201-50397-2. info - BJORKEN, James D. and Sidney D. DRELL.
*Relativistic quantum fields*. New York: McGraw-Hill Book Company, 1965. xiv, 396 s. info - BJORKEN, James D. and Sidney D. DRELL.
*Relativistic quantum mechanics*. New York: McGraw-Hill Book Company, 1964. ix, 299 s. info

- PESKIN, Michael E. and Daniel V. SCHROEDER.
**Teaching methods**- lectures
**Assessment methods**- Solved examples and an oral exam. Solution of the problems handed out in the course of the semester is mandatory.
**Language of instruction**- English
**Further Comments**- The course can also be completed outside the examination period.

The course is taught annually.

- Enrolment Statistics (Autumn 2018, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2018/F7040