# Part III - Advanced Quantum Field Theory

## Lectured by D. B. Skinner, Lent 2017

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# Contents

- V Full version
- 0 Introduction
- 1 QFT in zero dimensions
- 1.1 Free theories
- 1.2 Interacting theories
- 1.3 Feynman diagrams
- 1.4 An effective theory
- 1.5 Fermions
- 2 QFT in one dimension (i.e. QM)
- 2.1 Quantum mechanics
- 2.2 Feynman rules
- 2.3 Effective quantum field theory
- 2.4 Quantum gravity in one dimension
- 3 Symmetries of the path integral
- 4 Wilsonian renormalization
- 4.1 Background setting
- 4.2 Integrating out modes
- 4.3 Correlation functions and anomalous dimensions
- 4.4 Renormalization group flow
- 4.5 Taking the continuum limit
- 4.6 Calculating RG evolution
- 5 Perturbative renormalization
- 5.1 Cutoff regularization
- 5.2 Dimensional regularization
- 5.3 Renormalization of the ϕ
^{4}coupling - 5.4 Renormalization of QED
- 6 Non-abelian gauge theory