## Introduction to Quantum Field Theory

### Prof. J. Cardy - Michaelmas Term 2009

Quantum field theory forms the backbone of many areas of theoretical
physics, from gauge theories of particle physics to advanced condensed
matter problems. This 16-hour lecture course is intended as an
introduction
to the subject, taking the student from quantum mechanics to the
formulation
and solution of relativistic field theories in terms of path integrals.

The course will put the students in a position to carry on to more
advanced
subjects like gauge theories in particle physics,
together with field theory methods for condensed
matter
physics.

A basic knowledge of classical, statistical and quantum mechanics will
be
assumed, together with complex variable calculus.

It is hoped that the the following topics will be covered, as time allows:

- Path integral formulation of quantum mechanics
- Path integrals in field theory: generating functionals
- Feynman diagrams, Feynman rules
- Divergences and regularisation
- Renormalisation and renormalisation group.
- Scattering and S-matrices
- Path integrals for fermions

The lectures in will be held Wednesdays 10-11, Thursdays 12-1 and Fridays
11-12
in weeks 1-5, and on Thursday 12-1 in week 6, in the Fisher Room,
Denys Wilkindon Building.

Last updated September 24, 2009.