## PHYS4040 (Quantum Field Theory - scalar fields)

First part of the course, focus on quantising scalar fields

### Lecture Notes

- Klein Gordon feild
- Introduction to QFT: from classical to quantum to quantum fields

- Mathematics interleude
- Distributions, Dirac delta “function”, Green’s functions, complex integration

- Propogators
- Propogators in QM and QFT
- Klein-Gordon Feynman propogator etc.

- Noether’s Theorem
- Symmetries, conservation laws and Noether’s theorem
- Transformations, representations, and generators

### Background

- See also Classical Mechanics and Field Theory
- Introduction to foundations of Classical Mechanics and Classical Field Theory

### Texts

- Peskin & Schroeder,
*An Introduction To Quantum Field Theory*- Available as pdf from library

- Lecture notes by David Tong:

## PHYS6004 (Advanced Quantum Field Theory - quantum electrodynamics)

Extremely brief overview to QED. First, covers a recap of Dirac theory. Then states quantisation of Dirac and photon fields (without proof). Feynman rules are motivated and stated (not derived) - we will see the derivation in the later parts of the course. Finally, a semi-relativistic treatment of the Lamb shift is given (following paper of Bethe), which shows an example of infinities in the theory and how to deal with them (renormalisation)

### Lecture Notes

- Relativistic Quantum Mechanics
- Contains: quick overview of Dirac theory
- QED overview, summary of Feynman rules
- Semi-relativistic treatment of Lamb shift, renormalisation

### Texts

- Peskin & Schroeder,
*An Introduction To Quantum Field Theory*- Main book for the course, available as pdf from library

- Sakurai,
*Advanced Quantum Mechanics*- A little dated, but very nice. Available from library