Advanced Quantum Field Theory

Module PH2185

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

PH2185 is a semester module in English or German 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)
300 h 110 h 10 CP

Responsible coordinator of the module PH2185 is Michael Ratz.

Content, Learning Outcome and Preconditions


  • Renormalization group (fixed points etc.)
  • Effective action and effective potential
  • Spontaneous symmetry breaking, Goldstone bosons
  • Non-linear symmetry realizations, effective Goldstone Lagrangians
  • Non-trivial classical field configurations (solitons, instantons etc.) and their quantization
  • Anomalies (chiral, gauge, discrete, etc.)
  • Basics of supersymmetry (N=1 supersymmetry algebra, Wess-Zumino model etc.)
  • Spin-two fields; weak field quantisation of gravitation.

Learning Outcome

The student will be prepared

  • to understand the Higgs mechanism;
  • to compute quantum corrections to classical potentials;
  • to understand topologically non-trivial field configurations both at the classical and the quantum level;
  • to understand anomalies and anomaly cancellation;
  • to construct a supersymmetric action/theory.


no info

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VU 6 Fortgeschrittene Quantenfeldtheorie Weiler, A. Montag, 10:00–12:00
Donnerstag, 10:00–12:00
sowie Termine in Gruppen

Learning and Teaching Methods

Blackboard, possibly supplemented with slides.


no info


  • Peskin & Schroeder, "An Introduction to Quantum Field Theory"
  • Pokorski, "Quantum Field Theory"
  • Bailin & Love, "Introduction to Gauge Field Theories"
  • Weinberg, "Quantum Theory of Fields" I-III
  • Shifman, "Advanced topics in Quantum Field Theory"
  • Nakahara, "Geometry, topology and physics"

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 90 minutes.

Exam Repetition

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

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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?


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