Advanced Quantum Field Theory
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.
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 workload||Contact hours||Credits (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.
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
|VU||6||Fortgeschrittene Quantenfeldtheorie||Weiler, A.||
sowie Termine in Gruppen
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.
There is a possibility to take the exam at the end of the semester.