Selected Topics in Gauge Theories

Inhaltsverzeichnis

• Classical Yang-mills theory.
• Path integral quantization of gauge theories.
• Background field methods.
• Instantons and ?-Vacua.
• Schwinger model (QED)2.
• Chiral anomaly in (QCD)2.
• Fujikawa's path integral method.
• Chiral anomaly in the Schwinger-Symanzik formalism.
• Anomalous ward identities à la Wess-Zumino.
• Topological aspects of the Wess-Zumino effective action.
• Topological baryon number and the Skyrme model.
• The Atiyah-Singer index theorem (for the Euclidean Dirac operator).
• Chiral anomalies and differential geometry.
• Effective gauge theory actions in (2n + 1) dimensions.
• Chiral anomaly with gravitational background field.
• Vacuum charge in 2n + 1 dimensions.