# Quantum Field Theory

Convenor: Dr Tasos Avgoustidis (Nottingham)

Module Code: QFT

Duration (Hours): 10 hourly sessions

#### Start Date and Commitments

Starts:9/11/2022 - 10 lectures on Wed 12-13, Thu 12-13

#### Module Details

This module will provide an introduction to Quantum Field Theory, designed to follow-on from PP2: Relativistic Quantum Mechanics. We will construct Feynman rules from first principles and use them to study elementary processes involving scalars and fermions. Our approach will be through canonical quantisation. *This is an introductory course, which will not cover renormalisation. **For QED and non-abelian gauge theories, see module PP3.*

#### Syllabus

Lecture 1: Preliminaries (Classical) - Classical mechanics, Classical Field Theory, Symmetries and Noether currents

Lecture 2: Preliminaries (Quantum) - Canonical Quantization, Schrödinger, Heisenberg & Interaction Pictures, Harmonic Oscillator

Lectures 3 & 4: Free Fields - Canonical Quantization, Vacuum State, Particle States, Causality, Feynman Propagator

Lectures 5 & 6: Interacting Fields - S-Matrix, Wick’s Theorem, Feynman Diagrams, examples

Lecture 7: Spinors - Lorentz Group, Spinor representation

Lecture 8: Dirac Equation

Lectures 9 & 10: Quantization of Dirac Equation - Fermions, Feynman Rules, examples

#### Resources:

www.nottingham.ac.uk/~ppzaa3/QFT_resources.pdf

Lecture 1: www.nottingham.ac.uk/~ppzaa3/QFT_lecture_1.pdf

Lecture 2: www.nottingham.ac.uk/~ppzaa3/QFT_lecture_2.pdf

Lecture 3: www.nottingham.ac.uk/~ppzaa3/QFT_lecture_3.pdf

Lecture 4: www.nottingham.ac.uk/~ppzaa3/QFT_lecture_4.pdf

Lecture 5: www.nottingham.ac.uk/~ppzaa3/QFT_lecture_5.pdf

Lecture 6: www.nottingham.ac.uk/~ppzaa3/QFT_lecture_6.pdf

Lecture 7: www.nottingham.ac.uk/~ppzaa3/QFT_lecture_7.pdf

Lecture 8: www.nottingham.ac.uk/~ppzaa3/QFT_lecture_8.pdf

Lecture 9: www.nottingham.ac.uk/~ppzaa3/QFT_lecture_9.pdf

Lecture 10: www.nottingham.ac.uk/~ppzaa3/QFT_lecture_10.pdf

Problem set: www.nottingham.ac.uk/~ppzaa3/QFT_questions.pdf