An introduction to QFT


Scalar Fields

  • Action principle
  • Relativistic scalar fields
  • Invariance and conservation laws
  • Lie Groups and internal symmetries
  • Canonical quantization
  • Quantum symmetries
  • Green functions
  • Interacting fields and scattering
  • Functional integrals and perturbation theory
  • Wick theorem
  • LSZ formalism
  • Feynman diagrams and rulesn
  • Scattering and cross-sections
  • S matrix


    Spin

  • Lagrangians and equations
  • Vector fields and Lagrangians
  • Interazioni ed invarianze di gauge locali
  • Spin and canonical quantization
  • Massive solutions
  • Massless solutions
  • Fermionic functional integrals
  • Fermions in external fields
  • Gauge theories and ghosts
  • Reduction formulae and cross-sections






    Field Theory I - Renormalization

    Advanced QFT


    Introduction to Renormalization

  • Loops, regularization and unitarity
  • One-loop examples
  • Wick rotation
  • Dimensional regularization
  • Unitarity and cutting equations
  • Mass renormalization
  • Power counting e renormalizability
  • Two-loop renormalization and beyond
  • Renormalization group and KS equation
  • Gauge theories at one loop


    Applications

  • Renormalization and unitarity in QED
  • Ward identities and S matrix in QED
  • Ward identities and S matrix in QCD
  • Renormalization schemes
  • Muon decay and charged currents
  • Neutrino-electron scattering at one loop
  • Renormalization theorems


    MSM renormalization

  • Spontaneous symmetry breaking and masses
  • Higgs mechanism
  • The Minimal Standard Model
  • Evolution of coupling constants in QCD
  • Renormalization of the MSM
  • BRS transformations
  • Anomalies