Quantum Field Theory (TMP)
Module version of WS 2020/1 (current)
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 2020/1||WS 2019/20||WS 2018/9||WS 2017/8|
PH1008 is a semester module in English or German language at Master’s level which is offered in winter semester.
This Module is included in the following catalogues within the study programs in physics.
- Core Modules in Elite-Master Program Theoretical and Mathematical Physics (TMP)
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||150 h||10 CP|
Responsible coordinator of the module PH1008 is Martin Beneke.
Content, Learning Outcome and Preconditions
- Basic Concepts of Quantum Field Theory
- Path integral representation of quantum field theory, perturbation expansion, Feynman diagrams
- From Green functions to scattering cross sections, particle states, LSZ reduction
- Renormalization, regularization, effective field theory, renormalization group, running couplings
- Symmetries and relativistic particles & quantum fields with spin, fermionic path integral, Feynman rules for general fields
- Vector fields and gauge symmetry, quantum electrodynamics
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.
More information on the course at
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
Learning and Teaching Methods
The course is accompanied by homework problems.
Blackboard, possibly supplemented with slides.
- Peskin & Schroeder, "An Introduction to Quantum Field Theory"
- Weinberg, "Quantum Theory of Fields"
- Schwartz, "Quantum Field Theory and the Standard Model"
Description of exams and course work
The learning outcome is tested in a written exam of 180 minutes duration. Participation in tutorials is strongly recommended.
There will be a bonus (one intermediate stepping of "0,3" to the better grade) on passed module exams (4,3 is not upgraded to 4,0). The bonus is applicable to the exam period directly following the lecture period (not to the exam repetition) and subject to the following conditions
- The student prepared at least 50% of the exercises on the exercise sheets and
- presented at least three exercises at the blackboard and
- actively participated in the tutorials.
The exam may be repeated at the end of the semester.