Introduction to Quantum Field Theory, Michelmas 2014

This is the website for the Introduction to Quantum Field Theory course in the Oxford Master Course in Mathematical and Theoretical Physics. We meet in the Fisher Room, Denys Wilkinson Building, Physics Department. Lectures are Mondays at 10am, Wednesdays at 9am and Thursdays at 10am.

The tutorial is on Fridays 3-4pm. Location is

  • 31. October: Conference Room, first meeting.
  • 7. November: Seminar Room
  • 14. November: Fisher Room
  • 21. November: Seminar Room
  • 28. November: Conference Room
  • 05. December: Fisher Room

All the rooms are on level 5 in Denys Wilkinson Building.

Here is a mini-review of our classes so far, in case you missed something.

Homework

Homework is always due the following week.

Tentative Syllabus

Introduction

  • Why quantum field theory
  • Spin-0 and the Lorentz group
  • Canonical quantization

Path Integral

  • Sum over histories
  • Free scalar field
  • Observables, scattering, and the S-matrix

$\phi^4$ Theory

  • Quartic interaction
  • Lattice solutions
  • Spontaneous symmetry breaking
  • Relation with the Ising model

Perturbation Theory

  • Feynman diagrams
  • Divergences and regularization
  • Renormalization
  • Renormalization group

Non-Perturbative Effects

  • Solitons

Fermions

  • Spin $\frac{1}{2}$
  • Structure of the Lagrangian
  • Supersymmetry

Find Me

My office is in the Mathematical Institute, Room N1.07. You can email me at volker.braun@maths.ox.ac.uk.