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Introduction to Quantum Field Theory

Module PH2040 [QFT KTA]

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 SS 2011

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
SS 2022SS 2021SS 2020SS 2019SS 2018SS 2017SS 2016WS 2013/4SS 2011

Basic Information

PH2040 is a semester module in English language at Master’s level which is offered in summer semester.

This module description is valid to SS 2015.

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 110 h 10 CP

Responsible coordinator of the module PH2040 in the version of SS 2011 was Nora Brambilla.

Content, Learning Outcome and Preconditions


  1. Non-Abelian gauge theories
  2. Spontaneous Symmetry Breaking
  3. Renormalization
  4. Effektive Theories
  5. Instantons
  6. Anomalies
  7. BRST Symmetry
  8. Supersymmetry


Learning Outcome

After participation in the module the student is able to:

  • calculate field theory propagators and Green functions in perturbation theory;
  • deal with the field theory regularization and renormalization procedures and use renormalization group equations, apply this knowledge to the calculation of cross sections and scattering processes;
  • acquire basic knowledge of group theory;
  • understand the gauge principle and relate it to the form of the interaction, be able to construct effective quantum field theories.


No preconditions in addition to the requirements for the Master’s program in Physics.

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 4 Relativity, Particles, and Fields Garbrecht, B. Tue, 10:00–12:00, PH HS2
Thu, 12:00–14:00, PH HS2
UE 2 Exercise to Relativity, Particles, and Fields
Responsible/Coordination: Garbrecht, B.
dates in groups eLearning

Learning and Teaching Methods

lecture, beamer presentation, board work, exercises in individual and group work, discussion


practise sheets


Standard reference literature as:

  • Peskin & Schroeder, `Quantum Field Theory',
  • Westview press Ryder, `Quantum Field Theory',
  • Cambridge Bailin & Love, `Introduction to Gauge Field Theories',
  • IOP Preferred books and/or lectures notes will be discussed during the course in relation to the specific subjects in consideration.

Module Exam

Description of exams and course work

In a written exam the learning outcome is tested using comprehension questions and sample problems.

After passing the written exam students may choose to take an additional oral exam within the same examination period. In this case the module grade is obtained as average of the two grades.

Exam Repetition

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

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