GAUGE FIELD THEORIES: SPIN ONE AND SPIN TWO**

100 Years after General Relativity

  • Free fields
    • Bosonic scalar fields
    • Fermionic scalar (ghost) fields
    • Massless vector fields
    • Operator gauge transformations
  • Causal perturbation theory
  • Spin-1 gauge theories: massless gauge fields
  • Spin-1 gauge theories: massive gauge fields
  • Spin-2 gauge theories
  • Non-geometric general relativity
    • Geodesic equation
    • Einstein’s equations and Maxwell’s equations
    • Spherically symmetric fields and the circular velocity
    • Solutions of the vacuum equations
    • Cosmology in the cosmic rest frame
    • Failure of homogeneous cosmology
    • An inhomogeneous universe
    • Calculation of the energy-momentum tensor
    • Null geodesics
    • The redshift
    • Area and luminosity distances