Browse Hierarchy SPA7001P: Advanced Quantum Field Theory

This module gives a broad exposition of the modern framework for the unification of special relativity and quantum theory - relativistic quantum field theory (QFT). Lagrangian formulation and canonical quantisation of free fields with spin = 0, 1/2, 1 are revised. The construction of interacting quantum field theories is devoloped with special focus on phi^4-theory and quantum electrodynamics (QED). Perturbation theory in terms of Feynman diagrams is developed systematically, and important concepts such as regularisation and renormalisation are introduced. These tools are applied to the calculation of simple tree-level and one-loop S-matrix elements and cross-sections in phi^4 theory and QED, corrections to the electron magnetic moment and the running coupling. The course will also touch on more advanced topics such as anomalies, non-Abelian gauge theories, and modern methods for the calculation of S-matrix elements.