5A1386 Relativistic Quantum Physics

5A1386 Relativistic Quantum Physics

"Relativistic Quantum Physics" is a course where important theories for elementary particle physics and symmetries are learned. During the course, it will be illustrated how relativistic symmetries and gauge symmetries can restrict "possible" theories. The course will give an introduction to perturbation theory and Feynman diagrams. The problem with divergencies will be mentioned and the concepts for regularization and renormalization will be illustrated.

Credits: 5     ECTS Credits: 7.5     Level: D     Grading: U, 3, 4, 5

Time: Period 2, 3 (Lectures 30h, which will be given in English.)

Lecturer and examiner: Dr. Tommy Ohlsson, Associate Professor
Telephone: 08-55378161     E-mail: see bottom of page

Aim

After completion of the course you should be able to:

Syllabus

I. Relativistic quantum mechanics

Tensor notation. Casimir operators. The Poincaré group. Irreducible representations of particles. The Klein-Gordon equation. The Dirac equation. The structure of Dirac particles. The Dirac equation: central potentials. The Weyl equation. Maxwell's equations and quantization of the electromagnetic field. Introduction to Yang-Mills theory.

II. Introduction to quantum field theory

Neutral and charged Klein-Gordon fields. The Dirac field. The Majorana field. Asymptotic fields: LSZ formulation. Perturbation theory. Introduction to quantum electrodynamics. Interacting fields and Feynman diagrams. Elementary processes of quantum electrodynamics. Introduction to radiative corrections.

Prerequisites

The following courses are mandatory: The following course is recommended:

Program and schedule

Requirements

Hand in assignments (INL1; 3 p) and an oral exam (TEN1; 2 p).

Examination

The examination of the course will be a combination of homework problems and an oral examination. There will be three sets of homework problems during the course. These will be distributed and should be handed in according to the following scheme:
Homework problemsOutIn
Set #1Lecture 5 (November 15, 2006)November 24, 2006 (extended until November 27, 2006)
Set #2Lecture 10 (December 15, 2006)February 2, 2007
Set #3Lecture 15 (February 20, 2007 - one week earlier)March 9, 2007
The oral examinations will take place after the last lecture of the course. Each examination will take approximately one hour. The time for the examination will be agreed upon between the student and the examiner, but the student is obliged to take contact with the examiner.

Grading

The different grades are: U, 3, 4, and 5. The grades will be awarded according to the following scheme:
GradeHomework problemsOral examination
U< 40% of all problems correctFailed
< 40% of all problems correctPassed
≥ 40% of all problems correctFailed
3≥ 40% of all problems correctPassed
4≥ 60% of all problems correctPassed
5≥ 80% of all problems correctPassed
For PhD students, the different grades are: U (fail) and G (pass). Here the grade G corresponds to the grade 5 for the undergraduate students, whereas the grade U corresponds to the grades U, 3, and 4 for the undergraduate students.

Required reading

The course literature consists of two books (mainly):

Additional reading

Further recommended reading:
Senast uppdaterad: 2007-02-20
Sidansvarig: