Quantum Field Theory

Last updated Dec 29, 2024

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• Field Theory
  • Historical theory of radiation
  • Lorentz invariance
  • Harmonic oscillator
  • Second quantization
  • Classical field theory
  • Green’s functions
  • Old fashioned perturbation theory
  • Cross sections
  • Decay rates
  • LSZ reduction formula
  • Feynman propagator
  • Feynman Rules
    • Schwinger-Dyson equations
    • Position space Feynman rules
    • Wicks theorem
    • Momentum space Feynman rules
• Quantum Electrodynamics (QED)
  • Spin and Gauge invariance
    • Representations of the Poincare group
    • Gauge symmetries and covariant derivatives
    • Quantization and Ward identity
    • Photon propagator
  • Scalar quantum electrodynamics
    • Quantizing complex scalar fields
    • Feynman rules for scalar QED
    • Moller scattering
  • Spinors
    • Group Theory
    • Spinor representations
    • Dirac Lagrangian
    • Dirac Matrices
    • Projective Representations
    • Majorana and Weyl fermions
  • Spinor solutions as CPT
    • Chirality, helicity and spin
    • Solutions of the Dirac equation
    • Charge conjugation
    • Parity
    • Time reversal