Theoretical Particle Physics

Symmetry in Particle Physics

The aim of this module is to understand the role of symmetries in the construction of theories for Particle Physics

Lecture notes

1. Groups and their representations

2. Lie groups and Lie algebras

3. The Lorentz group

4. The Poincare' group

5. Scalar fields

6. Spinor fields

7. Continuous global symmetries

8. Abelian gauge theories

9. Non-Abelian gauge theories

10. Spontaneous symmetry breaking

11. The Brout-Englert-Higgs mechanism

Problem Sheets

Problem Sheet 1 Solutions

Problem Sheet 2 Solutions

Problem Sheet 3 Solutions

Problem Sheet 4 Solutions

Problem Sheet 5 Solutions

Problem Sheet 6 Solutions

Problem Sheet 7 Solutions

Problem Sheet 8 Solutions

Problem Sheet 9 Solutions

Problem Sheet 10 Solutions