SI2390 Relativistic Quantum Physics

SI2390 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: 7.5     Level: 2     Grading: A, B, C, D, E, Fx, F

Time: Period 3 (Lectures 36h, which will be given in English.)

Lecturer, course responsible, and examiner:
Prof. Tommy Ohlsson
Telephone: 08-7908261     E-mail: see bottom of page

Intended Learning Outcomes

After completion of the course you should be able to:

Syllabus

I. Relativistic quantum mechanics

Tensor notation. The Lorentz and Poincaré groups. Casimir operators. Irreducible representations of particles. The Klein-Gordon equation. The Dirac equation. The structure of Dirac particles. The Dirac equation: central potentials. The Weyl equation.

II. Introduction to relativistic quantum field theory

Neutral and charged Klein-Gordon fields. The Dirac field. The Majorana field. Maxwell's equations and quantization of the electromagnetic field. Introduction to Yang-Mills theory. Asymptotic fields: LSZ formulation. Perturbation theory. Introduction to quantum electrodynamics. Interacting fields and Feynman diagrams. Elementary processes of quantum electrodynamics. Introduction to regularization, renormalization, and radiative corrections.

Prerequisites

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

Program of Lectures

Requirements

Hand in assignments (INL1; 4.5 ECTS credits) and an oral exam (TEN1; 3 ECTS credits).

Examination

The examination of the course will be a combination of homework problems (INL1) and an oral examination (TEN1).
INL1. There will be three sets of homework problems, which each consists of two parts, during the course. These will be distributed and should be handed in according to the following scheme:
Homework ProblemsOutIn
Set #1 - Part I (quiz, 60 min.)Lecture 5 (January 27, 2021)February 3, 2021 @ 16:00-17:00
Set #1 - Part IILecture 5 (January 27, 2021)February 10, 2021 @ 16:00
Set #2 - Part I (quiz, 60 min.)Lecture 11 (February 10, 2021)February 17, 2021 @ 16:00-17:00
Set #2 - Part IILecture 11 (February 10, 2021)February 24, 2021 @ 16:00
Set #3 - Part I (quiz, 60 min.)Lecture 17 (March 3, 2021)March 10, 2021 @ 16:00-17:00
Set #3 - Part IILecture 17 (March 3, 2021)March 17, 2021 @ 16:00
TEN1. The oral examinations will take place after the last lecture of the course. Each examination will take approximately 15 minutes. The time for the examination will be agreed upon between the student and the examiner.

Grading

The different grades are: A, B, C, D, E, Fx, and F. The grades will be awarded according to the following scheme:
GradeHomework Problems (INL1)Oral Examination (TEN1)
F< 50% of all problems correctFailed
Fx< 50% of all problems correctPassed
Fx≥ 50% of all problems correctFailed
E≥ 50% of all problems correctPassed
D≥ 60% of all problems correctPassed
C≥ 70% of all problems correctPassed
B≥ 80% of all problems correctPassed
A≥ 90% of all problems correctPassed
In addition, you need to obtain at least 50 % on each homework problem set in order to obtain a passing grade (E or higher). If you obtain a total result of more than 50 %, but do not fulfill this criterion, you will be given the grade Fx and a chance to make a completing task for the grade E. For PhD students, the different grades are: F (fail) and P (pass).

Course Literature

The course literature consists of one book (mainly): Further recommended reading:
Senast uppdaterad: 2021-01-09
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