Advanced Quantum Field Theory
30 hours
Functional methods
Path integrals in quantum mechanics and quantum field theory.
Perturbation theory and Feynman diagrams.
Feynman rules from path integrals.
Fermions and Grassman variables.
Renormalisation
Ultraviolet divergences and regularisation.
Renormalised perturbation theory.
Wilsonian renormalisation.
Renormalisation group.
Callan-Symanzik equation.
Dimensional regularisation.
Non-Abelian gauge field theory
Abelian and non-Abelian gauge symmetries.
QCD and Yang-Mills theory.
Gauge fixing and Faddeev-Popov ghosts.
Computation of the beta function.
Asymptotic freedom, colour confinement and the continuum limit.
Course material
- Handout (Practical Information)
- Slides from Lecture 1
- Lecture notes
- Problem Sheet 1 - Solutions
- Problem Sheet 2
Past papers
1999 | 2000 | 2001 | 2002 | 2006 | 2007 | 2008 | 2009 | 2010
