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Quantum Field Theory (TMP)

Module PH1008

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 2022/3 (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 2022/3WS 2021/2WS 2020/1WS 2019/20WS 2018/9WS 2017/8

Basic Information

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 workloadContact hoursCredits (ECTS)
300 h 150 h 10 CP

Responsible coordinator of the module PH1008 is Björn Garbrecht.

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

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.


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"

Module Exam

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

  1. The student prepared at least 50% of the exercises on the exercise sheets and
  2. presented at least three exercises at the blackboard and
  3. actively participated in the tutorials.

Exam Repetition

The exam may be repeated at the end of the semester.

Current exam dates

Currently TUMonline lists the following exam dates. In addition to the general information above please refer to the current information given during the course.

Exam to Quantum Field Theory (TMP)
Wed, 2024-02-21, 13:30 till 16:30 2501
till 2024-01-15 (cancelation of registration till 2024-02-14)
Thu, 2024-04-11, 9:30 till 12:30 004
till 2024-03-25 (cancelation of registration till 2024-04-04)
Exam to Quantum Field Theory (TMP, Repetition after pass to obtain a better grade)
Wed, 2024-02-21, 13:30 till 16:30 2501
till 2024-01-15 (cancelation of registration till 2024-02-14)
Thu, 2024-04-11, 9:30 till 12:30 004
till 2024-03-25 (cancelation of registration till 2024-04-04)
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