| course | dates | credits |
| Advanced Quantum Field Theory I | Oct 1 - Dec 12 | 11* |
| teachers | schedule | term |
| Francesco Benini, Toby Opferkuch | 10:00 - 11:30 | 1 |
Program:
- Kallen-Lehmann Representation
- Cluster Decomposition
- LSZ Reduction Formula
- The Optical Theorem
- Causality and Analyticity
- General Renormalization Theory
- Coleman-Weinberg Potential
- Symmetries and Ward Identities
- Quantization and Ward Identities for QED
- Renormalization Group
- The Sliding Scale and the Summation of Leading Logs
- Scheme Dependence and Asymptotic Behaviours of Coupling Constants
- Callan-Symanzik Renormalization Group equations
- RG Flows of Dimensionful Couplings
- RG Improved Effective Potential
- Quantization of Non-Abelian Gauge Theories
- BRST Symmetry
- Background Field Method
- (*)Effective Field Theories
- (*)Naturalness and the Hierarchy Problem
- (*)Non-Leptonic Decays
- (*)(Ir)relevance of Higher Dimensional Operators
- (*)Redundant Operators
- (*)Spontaneously Broken Global Symmetries
- (*)Goldstone Theorem
- (*)Spontaneously Broken Gauge Symmetries
- (*)Higgs Mechanism
- (*)Effective Field Theory for Broken Symmetries
- (*)Mesons in QCD
- (*)Anomalies from One-Loop Graphs
- (*)Gauge Anomalies and Their Cancellation in the Standard Model
- (*)Strong CP Problem and Axions
- (*)Large Orders in Perturbation Theory
- (*)Vacuum Decay in Presence of External Fields
An essential part of the course will be provided by several exercises to be solved. The topics with (*) are optional for students in the Astroparticle curriculum.
Prerequisites:
- Quantum Mechanics
- Basic concepts of Quantum Field Theory (quantization of scalar, fermion and abelian gauge fields, Feynman rules, path integral formulation)
Books:
- S. Weinberg, ''The Quantum Theory of Fields'', vol. I and II
- M.E. Peskin and D.V. Schroeder, ''An Introduction to Quantum Field Theory''
Online Resources:
| Filename | Size (bytes) | Date Modified | |
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QFT_Review_2025.pdf | 2.07 MB | Nov 18 2025 10:47 AM |
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QFTExam_2021_winter.pdf | 85.01 KB | Jun 27 2025 1:47 PM |
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QFTExam_2020_winter.pdf | 74.43 KB | Jun 27 2025 1:47 PM |
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QFTExam_2019_winter.pdf | 86.87 KB | Jun 27 2025 1:47 PM |
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QFTExam_2019_summer.pdf | 59.28 KB | Jun 27 2025 1:47 PM |
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QFTExam_2018_winter.pdf | 90.73 KB | Jun 27 2025 1:47 PM |
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QFTExam_2018_summer.pdf | 81.66 KB | Jun 27 2025 1:47 PM |
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QFTExam_2017_winter.pdf | 86 KB | Jun 27 2025 1:47 PM |
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QFTExam_2016_winter.pdf | 84.75 KB | Jun 27 2025 1:47 PM |
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QFTExam_2016_summer.pdf | 67.01 KB | Jun 27 2025 1:47 PM |
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QFTExam_2015_winter.pdf | 69.1 KB | Jun 27 2025 1:47 PM |
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QFTExam_2014_winter.pdf | 69.18 KB | Jun 27 2025 1:47 PM |
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QFTExam_2013_winter.pdf | 75.77 KB | Jun 27 2025 1:47 PM |
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QFTExam_2013_summer.pdf | 75.46 KB | Jun 27 2025 1:47 PM |
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QFTExam_2012_winter.pdf | 78.52 KB | Jun 27 2025 1:47 PM |
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QFTExam_2012_summer.pdf | 68.91 KB | Jun 27 2025 1:47 PM |
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QFTExam_2011_winter.pdf | 52.58 KB | Jun 27 2025 1:47 PM |