| course | dates | credits |
| Quantum Field Theory I | Oct 2 - Dec 14 | 6 |
| teachers | schedule | term |
| Francesco Benini, J. van Muiden | Mon-Thu, 11:30-13:00 | 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
- Callan-Symanzik Renormalization Group equations
- Scheme Dependence and Asymptotic Behaviours of Coupling Constants
- 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
- (*)Anomalous Breaking of Scale Invariance
- 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:
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