Theory lecture 7

6 Abril 2022, 08:30 João Nuno Ramalho Gonçalves Pires

Symmetries in Particle Physics

  • Discrete symmetries and Unitary operators: Parity conservation in QED and QCD
  • Continuous symmetries: Translational invariance and linear momentum conservation
  • Review of group theory
  • Symmetry groups U(N) and SU(N)
  • U(1) group and local U(1) gauge symmetry of quantum electrodynamics
  • SU(2) and SU(3) symmetry groups for gauge theories of the electroweak and the strong interaction in the Standard Model
  • Approximate flavour symmetry of the strong interaction SU(2) u/d Isospin symmetry
  • Combining quarks to form meson and baryon states of the approximate isospin SU(2) symmetry
  • Ground state baryon wavefunctions: wavefunction for a spin-up proton
  • Extension of isospin symmetry to include the strange quark: SU(3) flavour symmetry
  • Meson Octets and Singlets of flavour SU(3)
  • Baryon Decuplets and Octects of flavour SU(3)
Recommended reading: Chapter 9 of Mark Thomson's book, Chapter's 4, 5.8-5.10 of D. Griffiths book