Particle Symmetries
Particle Symmetries
Overview
Prof Daniel Waldram30 hours
Introduction
Role of symmetry in physics.
Introduction to Group Theory
Introduction to group theory and representation theory. Brief discussion of finite groups. Matrix groups and the notion of Lie groups.
Symmetries and particle physics
Basic introduction to symmetries and particles of the standard model.
Lie Groups and Lie Algebras
The main part of the course is the treatment of Lie groups, Lie algebras and their representation theory, focussing on semi-simple Lie groups. We consider SU(2) and SU(3) and their representations, the Poincare and Lorentz groups and Heisenberg group and their representations.
Course material
Lecture notes:
Part 1; Part 2; Part 3; Part 4
Problem sets:
Problem set 1; Problem set 2; Problem set 3; Problem set 4
Solutions:
Solutions 1; Solutions 2; Solutions 3; Solutions 4
Rapid feedback notes:
RF1 - Tensor Products.pdf
RF2 - Branching Rules.pdf
RF3 - Dimensions, Complexification and Real Forms.pdf
RF4 - Fundamental Roots.pdf
RF5 - Roots and Weights.pdf
Old course material
Lecture notes 2011
taken by Gary Retallick: Part 1; Part 2; Part 3; Part 4; Part 5; Part 6
Lecture notes 2014
Santiago Cabrera's notes; Meera Patel's notes: Part 1; Part 2; Part 3
Problem sets 2011
Problem set 1; Problem set 2; Problem set 3; Problem set 4
Problem sets 2012:
Problem set 1; Problem set 2; Problem set 3; Problem set 4