Anomalies from the phenomenological and geometrical points of view

Abstract

Chiral anomalies are reviewed according to three different points of view: the usual approach together with some phenomenological implications, the algebraic approach, and, in the end and more detailed, the geometric approach. In particular, the topological approach of the Atiyah-Singer is extended in a way which allows the treatment of all chiral anomalies within the geometric (equivariant) point of view.