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Quantum Field Theory II
Last Updated: 2026-02-05 15:29:40
Abstract
The subject of the course is modern applications of quantum field theory with emphasis on the quantization of non-Abelian gauge theories.
Content
We first introduce classical gauge transformations. Then a formalism of quantization for fermionic and bosonic fields and perturbation theory with path-integrals is developed. With this formalism at hand and the Fadeev-Popov method for gauge fixing we proceed to the quantization of non-Abelian gauge theories. We describe the BRST symmetry of the path-integral for gauge theories. We then introduce the quantum effective action and the effective potential. We develop a formalism for the study of constraints of the quantum action, deriving Slavnov-Taylor identities and the Zinn-Justin equation for nilpotent symmetry transformations. We then address the issue of ultraviolet infinities in field theories, and develop power-counting criteria for renormalizable Lagrangians. Finally we prove that a consistent renormalization with all symmetries of non-Abelian gauge theories at all orders in perturbation theory is indeed possible.
General Information
- Language
- English
- Levels
- MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 30 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture |
Quantum Field Theory II
**gemeinsam mit der Uni Zürich**
|
|
3 h weekly |
| exercise |
Quantum Field Theory II
**gemeinsam mit der Uni Zürich**
|
|
2 h weekly |