# Quantum Field Theory - Material for the year 2019-2020

## Primary tabs

### Assessment type:

- Invigilated written examination in HT

24 lectures

Areas: PT, CMT, Astro, foundational course.

Sequels: Advanced Quantum Field Theory for Particle Physics (HT), Conformal Field Theory (TT),

Quantum Field Theory in Curved Space-Time (TT).

Relativistic wave equations and the need for Quantum Field Theory

Canonical quantisation of scalar and fermion fields

Path integral quantisation of scalar and fermion fields

Symmetries and Noetherâ€™s theorem

Feynman diagrams

S-matrix elements and cross-sections for scalar fields

1-loop renormalization of scalar field theory

Field theory at finite temperature (time permitting)

The classic texts on the subject are by Bjorken and Drell, Relativistic Quantum Mechanics and Relativistic Quantum Fields.

Everything in the first is worth knowing; the second is somewhat outdated but still worth a look.

The standard text, and closest to most of this course, is Peskin and Schroeder, An Introduction to Quantum Field Theory.

There are several books that people often find useful, here are three: Quantum Field Theory by Mandl and Shaw is very clear

on the fundamentals and is a good place to go if you are daunted by the size of some of the other books;

Quantum Field Theory by Srednicki focusses on the standard particle physics approach; and Statistical Physics of Fields by Kardar

approaches the topic from the statistical mechanical point of view.