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Quantum Field Theory II
Last Updated: 2026-06-03 00:42:25
Abstract
The course discusses modern techniques and applications of relativistic quantum field theory with an emphasis on path integral quantisation of non-abelian gauge theories and spontaneous breaking of symmetries.
Objective
Command of the quantisation of non-abelian gauge theories and the breaking of symmetries therein. Understanding of the basic structures and techniques required for the theoretical study of the Standard Model of Particle Physics.
Content
topics include: - path integral quantisation (generating functionals) - non-abelian Lie groups - non-abelian gauge theories and their quantisation (Yang-Mills theory, BRST symmetry) - systematics of renormalisation (Callan-Symanzik equation) - symmetries in quantum field theory (Ward-Takahashi and Slavnov-Taylor identities, anomalies) - spontaneous symmetry breaking (Goldstone theorem, Higgs mechanism)
Resources
Literature
M.E. Peskin and D.V. Schroeder, “An introduction to Quantum Field Theory”, Westview Press (1995) C. Itzykson, J.-B. Zuber, “Quantum Field Theory”, McGraw-Hill (1980) P. Ramond, “Field Theory: A Modern Primer” (2nd Edition), Westview Press (1990) M. Srendnicki, “Quantum Field Theory”, Cambridge University Press (2007)
General Information
- Language
- English
- Levels
- MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 35 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture |
Quantum Field Theory II
**together with University of Zurich**
|
|
3 h weekly |
| exercise |
Quantum Field Theory II
**together with University of Zurich**
|
|
2 h weekly |
Offered In
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Application Area (Only necessary and eligible for the Master degree in Applied Mathematics. One of the application areas specified must be selected for the category Application Area for the Master degree in Applied Mathematics. At least 8 credits are required in the chosen application area. Credits from other application areas cannot be recognised for further application areas.)
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Theoretical Physics (In the Master's programme in Applied Mathematics 402-0204-00L Electrodynamics is eligible as a course unit in the application area Theoretical Physics, but only if 402-0224-00L Theoretical Physics wasn't or isn't recognised for credits (neither in the Bachelor's nor in the Master's programme). For the category assignment take contact with the Study Administration Office ( ) after having received the credits.)
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Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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Core Courses (One Core Course from Physics Bachelor (BSc Regulation 2021) is eligible as an elective. To assign a category, leave the option "no category" and contact the Study Administration ( ) once you have received the credits.)
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