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