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Quantum Field Theory II
Last Updated: 2026-02-05 15:54:57
Abstract
The subject of the course is modern applications of quantum field theory with emphasis on the quantization of non-abelian gauge theories.
Objective
The goal of this course is to lay down the path integral formulation of quantum field theories and in particular to provide a solid basis for the study of non-abelian gauge theories and of the Standard Model
Content
The following topics will be covered: - path integral quantization - non-abelian gauge theories and their quantization - systematics of renormalization, including BRST symmetries, Slavnov-Taylor Identities and the Callan-Symanzik equation - the Goldstone theorem and the Higgs mechanism - gauge theories with spontaneous symmetry breaking and their quantization - renormalization of spontaneously broken gauge theories and quantum effective actions
Resources
Literature
M.E. Peskin and D.V. Schroeder, "An introduction to Quantum Field Theory", Perseus (1995). S. Pokorski, "Gauge Field Theories" (2nd Edition), Cambridge Univ. Press (2000) P. Ramond, "Field Theory: A Modern Primer" (2nd Edition), Westview Press (1990) S. Weinberg, "The Quantum Theory of Fields" (Volume 2), CUP (1996).
Learning Materials (Links)
- Moodle course
- Moodle-Kurs / Moodle course
General Information
- Language
- English
- Levels
- DR , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 30 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**
Wed 8-10 or Fr 8-10
|
|
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.)
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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 15 of the required 28 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 in Experimental or Theoretical Physics from Physics Bachelor is eligible; however, this Core Course from Physics Bachelor cannot be used to compensate for the mandatory Core Course in Experimental or Theoretical Physics. For the category assignment keep the choice "no category" and take contact with the Study Administration ( ) after having received the credits.)
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Doctoral Department of Mathematics (More Information at: The list of courses (together with the allocated credit points) eligible for doctoral students is published each semester in the newsletter of the ZGSM. WARNING: Do not mistake ECTS credits for credit points for doctoral studies!)
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Graduate School (Official website of the Zurich Graduate School in Mathematics:)
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