Topics

  1. Classical Field Theory
    1. Lagrangian, conjugate momentum and stress-energy tensor
    2. Symmetry and Noether currents
    3. Spin 0 field (Klein-Gordon equation)
      • Real and complex matter fields, electric charge
      • Green's functions
      • Rutherford and Moller Scattering; scattering cross section
    4. Spin ½ Dirac field
      • Dirac 4-spinors and Dirac equation
      • Hydrogen atom spectrum
      • Lagrangian covariant formulation and Green's functions;
      • Fermion scattering
    5. EM field (Spin 1)
  2. Field Quantization and particles
    1. Quantization of Klein-Gordon field
    2. Quantization of Dirac field, CPT transformations
    3. EM field quantization
  3. Interacting fields and QED
    1. Perturbation theory and Feynman diagrams
    2. QED renormalization and radiative corrections
      • Electron self-energy
      • Vacuum Polarization
      • Vertex corrections
    3. QED Running coupling constant
  4. Spontaneous symmetry breaking. Higgs-Anderson mechanism.
  5. Extra topics
    • Aharonov-Bohm
    • Casimir effects
    • QCD
    • superconductivity and new electronic materials