Advanced Quantum Field Theory
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 2020||SS 2019||SS 2018||SS 2017||SS 2014|
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 workload||Contact hours||Credits (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.
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.
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||4||Advanced Quantum Field Theory||Weiler, A.||
Mon, 10:00–12:00, PH 3344
Thu, 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.
- 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"
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.
The exam may be repeated at the end of the semester.
Current exam dates
Currently TUMonline lists the following exam dates. In addition to the general information above please refer to the current information given during the course.
|Exam to Advanced Quantum Field Theory|
|Mon, 2021-08-02, 11:30 till 14:30||PH: 2501
||Beachten Sie die Informationen zur Prüfungsteilnahme während der COVID-19-Pandemie unter https://www.tum.de/die-tum/aktuelles/coronavirus/corona-lehre-pruefungen/. // See https://www.tum.de/en/about-tum/news/coronavirus/coronavirus-exams/ for further information on exams during the COVID-19 pandemic.||till 2021-06-30 (cancelation of registration till 2021-07-26)|
|Mon, 2021-10-04, 11:30 till 14:30||PH: 2501
||Beachten Sie die Informationen zur Prüfungsteilnahme während der COVID-19-Pandemie unter https://www.tum.de/die-tum/aktuelles/coronavirus/corona-lehre-pruefungen/. // See https://www.tum.de/en/about-tum/news/coronavirus/coronavirus-exams/ for further information on exams during the COVID-19 pandemic.||till 2021-09-27|