Topics in Quantum Field Theory

Module PH2115

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.

Basic Information

PH2115 is a semester module in English language at Master’s level which is offered in summer semester.

This Module is included in the following catalogues within the study programs in physics.

  • General catalogue of special courses
  • Specific catalogue of special courses for nuclear, particle, and astrophysics

If not stated otherwise for export to a non-physics program the student workload is given in the following table.

Total workloadContact hoursCredits (ECTS)
150 h 75 h 5 CP

Responsible coordinator of the module PH2115 is Nora Brambilla.

Content, Learning Outcome and Preconditions


  • Field Theories at Finite Temperature (including QCD, electroweak and cosmological implications)
  • Anomalies in Field Theories
  • Operator Product Expansion
  • Nonperturbative configuration and nonperturbative methods in Field Theory.

Learning Outcome

After having followed this course the student will be familiar with important topics in quantum field theory like 

thermal field calculations, anomalies,  operator product expansion.


the students should have had mandatorily QM1 and QM2, it is warmly suggested to have attended/studied  QFT1.

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 4 Topics in Quantum Field Theory Brambilla, N. einzelne oder verschobene Termine

Learning and Teaching Methods

Seminar, single and group exercises.


Slides, computer projection.


M. Le Bellac, Thermal Field Theory, Cambridge University Press, 2004.

J. Kapusta and C. Gale, Finite-Temperature Field Theory Principles and Applications, Cambridge University Press, 2006.

D. Bailin and A. Love, Cosmology in Gauge Field Theory and String Theory, IoP, 2004

.M. Peskin and D. Schroeder, An Introduction to Quantum Field Theory, Addison Wesley, 1995.

M. Le Bellac, Quantum and Statistical Field Theory, Oxford Science Publications, second edition 1994.

J. Zinn Justin, Quantum Field Theory and Critical Phenomena, Oxford Science Publications, 1993.

Module Exam

Description of exams and course work

In an oral 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 written test. In this case the time duration is 60 minutes.

Exam Repetition

There is a possibility to take the exam at the end of the semester.

Condensed Matter

When atoms interact things can get interesting. Fundamental research on the underlying properties of materials and nanostructures and exploration of the potential they provide for applications.

Nuclei, Particles, Astrophysics

A journey of discovery to understanding our world at the subatomic scale, from the nuclei inside atoms down to the most elementary building blocks of matter. Are you ready for the adventure?


Biological systems, from proteins to living cells and organisms, obey physical principles. Our research groups in biophysics shape one of Germany's largest scientific clusters in this area.