Analytic index and chiral fermions

Abstract

A recent application of an index relation of the form, $dimkerM-dimker{M}^{†}=\nu$, to the generation of chiral fermions in a vector-like gauge theory is reviewed. In this scheme the chiral structure arises from a mass term with a non-trivial index.The essence of the generalized Pauli-Villars regularization of chiral gauge theory, which is based on this mechanism, is also clarified.

18 pages, plain Latex