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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.

Module version of SS 2017

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 2020SS 2019SS 2018SS 2017SS 2014

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.

  • Specific catalogue of special courses for nuclear, particle, and astrophysics
  • Complementary catalogue of special courses for condensed matter physics
  • Complementary catalogue of special courses for Biophysics
  • Complementary catalogue of special courses for Applied and Engineering Physics
  • Specialization 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 110 h 10 CP

Responsible coordinator of the module PH2185 in the version of SS 2017 was Martin Beneke.

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

VO 4 Advanced Quantum Field Theory Weiler, A. Thu, 10:00–12:00, PH 3344
Mon, 10:00–12:00, PH 3344
UE 2 Exercise to Advanced Quantum Field Theory
Responsible/Coordination: Weiler, A.
dates in groups

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

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

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