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Advanced Quantum Field Theory

Module PH2041

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 WS 2010/1

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
WS 2020/1WS 2019/20WS 2018/9WS 2017/8WS 2016/7WS 2015/6WS 2013/4WS 2010/1

Basic Information

PH2041 is a semester module in German language at Master’s level which is offered in winter semester.

This module description is valid to SS 2013.

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 PH2041 in the version of WS 2010/1 was Nora Brambilla.

Content, Learning Outcome and Preconditions


Advanced topics in quantum field theories: radiative corrections and renormalization; non abelian gauge theories;

operator product expansion; effective theories, spontaneous symmetry breaking; anomalies.

Learning Outcome

After having followed this course the student would possess the most important concepts of quantum field theory,

that are necessary to describe the fundamental phenomena in nuclear and particle physics. The student will be able to analyze different quantum field theories on the basis of their symmetries, to calculate correlation functions and 

scattering amplitudes in the renormalized theory.



-Quantum Mechanics II

-introduction to Quantum Field Theory

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 5 Quantum Field Theory Beneke, M. Dybalski, W. Mon, 12:00–14:00, PH HS3
Wed, 14:00–16:00, PH HS3
Wed, 12:00–14:00, PH HS3
UE 1 Exercise to Quantum Field Theory Vaudrevange, P.
Responsible/Coordination: Beneke, M.
dates in groups
UE 1 Large Exercise to Quantum Field Theory Vaudrevange, P.
Responsible/Coordination: Beneke, M.
Wed, 14:00–16:00, PH HS3

Learning and Teaching Methods

Seminar, computer projection, slides,  single and group exercises.




Standard books of Quantum Field Theory, for example:

M.E.Peskin & D.V.Schroeder"An Introduction to Quantum Field Theory"
S.Weinberg "The Quantum Theory of Fields"
L.H.Ryder "Quantum Field Theory"
C.Itzykson & J.-B. Zuber "Quantum Field Theory"
J.Collins "Rernormalization"

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. There is a possibility to take the exam in the following semester.

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