Quantum Field Theory 2 (882F3)

15 credits, Level 7 (Masters)

Spring teaching

Module topics include:

  • Path integrals: Path integrals in quantum mechanics; Functionals; Path integral quantisation of scalar field; Gaussian integration; Free particle Green's functions ; Vacuum-vacuum transition function Z[J]. 
  • Interacting field theory in path integral formulation. Generating functional W[J]; Momentum space Greens functions; S-matrix and LSZ reduction formula; Grassmann variables; Fermionic path integral. 
  • Gauge field theory: Internal symmetries; Gauge symmetry 1: Abelian; The electromagnetic field; Gauge symmetry 2: non-Abelian. 
  • Renormalisation of scalar field theory; Quantum gauge theory; Path integral quantisation of non-Abelian gauge theories; Faddeev-Popov procedure, ghosts; Feynman rules in covariant gauge; Renormalisation.


100%: Lecture


30%: Coursework (Problem set)
70%: Written assessment (Report)

Contact hours and workload

This module is approximately 150 hours of work. This breaks down into about 33 hours of contact time and about 117 hours of independent study. The University may make minor variations to the contact hours for operational reasons, including timetabling requirements.

This module is running in the academic year 2021/22. We also plan to offer it in future academic years. However, we are constantly looking to improve and enhance our courses. There may be changes to modules in response to student demand or feedback, changes to staff expertise or updates to our curriculum. We may also need to make changes in response to COVID-19. We’ll make sure to let our applicants know of material changes to modules at the earliest opportunity.