Quantum Field Theory
Module PH2041
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.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
| available module versions | ||||||||
|---|---|---|---|---|---|---|---|---|
| WS 2021/2 | WS 2020/1 | WS 2019/20 | 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 | Links |
|---|---|---|---|---|---|
| VO | 5 | Quantum Field Theory | Weiler, A. |
Wed, 12:00–14:00, PH HS3 Wed, 14:00–16:00, PH HS3 Mon, 12:00–14:00, PH HS3 |
|
| UE | 1 | Exercise to Quantum Field Theory |
Baratella, P.
Serra Mari, J.
Venturini, E.
Responsible/Coordination: Weiler, A. |
dates in groups | |
| UE | 1 | Large Exercise to Quantum Field Theory |
Baratella, P.
Serra Mari, J.
Venturini, E.
Responsible/Coordination: Weiler, A. |
Wed, 14:00–16:00, PH HS3 |
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.