Exact chiral symmetry, topological charge and related topics

Abstract

It has been shown recently that Dirac operators satisfying the Ginsparg-Wilson relation provide a solution of the chirality problem in QCD at finite lattice spacing. We discuss different ways to construct these operators and their properties. The possibility to define lattice chiral gauge theories is briefly discussed as well.

Comments: 15 pages, latex, 3 figures, LATTICE98, plenary talk