Theories of particle physics ~ Content of the course

Content of the course

• Basics of relativistic quantum physics
  • Reminder of relativistic quantum mechanics
  • Diracology
  • Canonical quantization
• Global and local symmetries
  • Global invariance
  • Lorentz group and its representations
  • Internal symmetries
  • Local invariance or gauge symmetry
  • Gauge fields
  • U(1) group- electromagnetic field
  • SU(2) group. Yang-Mills field
• Spontaneous symmetry breaking
  • Vacuum states of the fields
  • Spontaneous breaking of a global symmetry
  • Spontaneous breaking of a local symmetry
  • Residual symmetry
• Standard model of electroweak interactions
  • The particle contents of the standard model
  • The breaking of SU(2)*U(1) to U(1)'
  • W and Z bosons
  • Higgs boson
  • Quark model of hadrons
  • Electroweak interactions of quarks
  • Mixing of quarks
• Path integral formalism
  • Construction of a path integral (functional integral)
  • Path integral in quantum mechanics
  • Path integral in field theory
  • Quantization of gauge fields
• Covariant perturbation theory
  • Green's function as path integral
  • Generating functionals
• Processes in quantum electrodynamics
  • Differential cross sections
  • Compton scattering
• Weak interactions
  • Neutral currents (Z exchange)
  • Charged currents (W exchange)
  • CP violation
• Renormalisation theory
  • Divergences in matrix elements
  • Dimensional regularization
  • Renormalization of the standard model
• QCD
  • Unitary group SU(3)
  • Asymptotical freedom
  • Renormalization of QCD, beta functions

A more detailed program will become clear during the course.

URL of this page is: http://www.physics.helsinki.fi/%7Epuolamak/hitu/content.html