Introduction to Quantum Field Theory

Module PH2113 [QFT KM]

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

PH2113 is a semester module in 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 condensed matter physics

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 PH2113 is Wilhelm Zwerger.

Content, Learning Outcome and Preconditions


Das Modul gibt eine Einführung in die Grundlagen der Quantenfeldtheorie und Ihrer Anwendungen in verschiedenen Gebieten der Physik. Der Schwerpunkt liegt auf dem physikalischen Verständnis der grundlegenden Konzepte. Der Inhalt gliedert sich wie folgt:

  1. Bosonische Felder
    • Elastisches Kontinuum und das Klein-Gordon-Feld
    • Funktional-Integral-Beschreibung von Teilchen und Feldern
    • Wechselwirkende relativistische Felder, S-Matrix
    • Wechselwirkende nichtrelativistische Bose-Felder, Bose-Einstein-Kondensation
  2. Fermionen und Eichfelder
    • Spinor-Darstellungen der Lorentz-Gruppe, Dirac-Feld
    • Spin-Statistik und CPT-Theorem
    • Eichinvarianz, QED
    • Ladungsrenormierung und anomales magnetisches Moment in der QED
    • Nichtabelsche Eichfelder
    • Asymptotische Freiheit in der QCD
  3. Gebrochene Symmetrien
    • Noether-Theorem, Enerie-Impuls-Tensor, Skaleninvarianz
    • Spontande Symmetriebrechung, Goldstone-Theorem, Coleman-Weinberg Potential
    • Anderson-Higgs-Kibble-Mechanismus

Learning Outcome

no info


Keine Vorkenntnisse nötig, die über die Zulassungsvoraussetzungen zum Masterstudium hinausgehen.

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VU 6 Einführung in die Quantenfeldtheorie Zwerger, W. einzelne oder verschobene Termine

Learning and Teaching Methods

Vortrag, Beamerpräsentation, Übungen in Einzel- und Gruppenarbeit, Diskussion


no info


A. Zee, Quantum Field Theory in a Nutshell , Princeton University Press

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.

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.