Geometrical Aspects of Gauge Theories

Cesare Reina

  1. Vector bundles. Metrics, connections and curvature.
  2. The space of connections and the Yang-Mills functional.
  3. The group of gauge transformations and its action on the space of connections. The orbit spaces.
  4. Gauge fixing and the Gribov ambiguity.
  5. The Faddeev-Popov method.
  6. Determinat of the chiral Dirac operator and anomalies.