Quantum Field Theory
Module PH2041
This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
Module version of WS 2013/4
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
| available module versions | |||||
|---|---|---|---|---|---|
| WS 2018/9 | WS 2017/8 | WS 2016/7 | WS 2015/6 | WS 2013/4 | WS 2010/1 |
Basic Information
PH2041 is a semester module in English or German language at Master’s level which is offered in winter semester.
This module description is valid from WS 2013/4 to SS 2017.
If not stated otherwise for export to a non-physics program the student workload is given in the following table.
| Total workload | Contact hours | Credits (ECTS) |
|---|---|---|
| 300 h | 110 h | 10 CP |
Responsible coordinator of the module PH2041 in the version of WS 2013/4 was Michael Ratz.
Content, Learning Outcome and Preconditions
Content
- Functional (path integral) quantisation of bosonic and fermionic fields
- Green functions
- Perturbation expansion, Feynman diagrams
- Particle states, LSZ reduction and cross sections
- Gauge invariance and quantisation of non-abelian gauge theories
- Ward-Takahashi identities
- Loop calculations and UV regularisation
- Dimensional regularisation
- Renormalisation, in particular of gauge theories
- Next-to-leading order effects in gauge theories (e.g. anomalous
- magnetic moment, infrared divergences and soft bremsstrahlung)
- Effective field theory
- Renormalisation group, running couplings and masses
Learning Outcome
After successful completion of the module the student will be prepared
- to compute Green functions in perturbation theory, including loop corrections, and apply these to calculations of high-energy reactions;
- to quantise non-Abelian gauge theory and to calculate tree- and loop processes;
- to understand the concepts of regularisation and renormalisation and to apply these in calculations;
- to improve perturbative calculations using the renormalisation group;
- to construct effective quantum field theories.
Preconditions
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
| Type | SWS | Title | Lecturer(s) | Dates |
|---|---|---|---|---|
| VO | 5 | Quantum Field Theory | Dybalski, W. Weiler, A. | |
| UE | 1 | Exercise to Quantum Field Theory |
Serra Mari, J.
Vaudrevange, P.
Responsible/Coordination: Weiler, A. |
|
| UE | 1 | Large Exercise to Quantum Field Theory |
Vaudrevange, P.
Responsible/Coordination: Weiler, A. |
Learning and Teaching Methods
The course is accompanied by homework problems.
Media
Blackboard, possibly supplemented with slides.
Literature
- Peskin & Schroeder, "An Introduction to Quantum Field Theory"
- Itykson & Zuber, "Quantum Field Theory"
- Bailin & Love, "Introduction to Gauge Field Theories"
Module Exam
Description of exams and course work
In a written exam the learning outcome is tested using comprehension questions and sample problems.
In accordance with §12 (8) APSO the exam can be done as a oral examination. In this case the time duration is 30 minutes.
Exam Repetition
The exam may be repeated at the end of the semester.