Contents:

• Special Relativity
  • The axioms of Special Relativity
  • Minkowski Diagrams
  • Invariant Interval
  • Lorentz Transformations
  • Adding velocities
  • Proper Time
  • Four-vectors
  • Four-vector inner products
  • Velocity and Acceleration Vectors
  • Momentum
  • Invariant Mass
  • Particle Collisions
• Interacting scalar fields
  • The Dirac interaction picture
  • The S matrix
  • The vacuum
  • Wick’s Theorem
  • \(2 \to 2\) scattering
  • Feynman Rules
  • The true vacuum
  • The LSZ Reduction formula
• Free scalar field theory
  • On-shell and normalisation
  • Plane-wave solutions of Klein-Gordon
  • The Energy Function and Hamiltonian
  • Second Quantisation
  • Creation and Annihilation Operators
  • The Energy Operator
  • Normal Ordering
  • The Momentum Operator
  • Multiparticle States
  • Complex Scalar Fields
  • Charge Conservation
  • The Heisenberg Picture
  • Causality
  • The Propagator