Module description
Syllabus
Classical field theory: Lagrangian; Hamiltonian; symmetries; Noether's theorem. Relativistic wave equations: Klein-Gordon equation; Dirac equation; Maxwell equations. Non-Abelian gauge fields. Free field theory: quantisation of scalar, Fermion, and Maxwell fields; Fock spaces; normal ordering; time ordering; Feynman propagators. Interactions: perturbation theory; Wick’s theorem; Feynman diagrams; regularization.Cross-sections.
Prerequisites
You are advised to have knowledge of classical mechanics, quantum mechanics, special relativity. Familiarity with linear algebra and calculus. You are advised to take 7CCMMS30 Foundations of Mathematical Physics
Assessment details
2 hour written examination.
Semester 1 only students will be set an alternative assessment in lieu of in-person exams in January.
Full year students will complete the standard assessment.
Educational aims & objectives
To provide basic foundational material in quantum field theory.
Teaching pattern
Two hours of lectures and one hour of tutorial per week throughout the term