Ginsparg-Wilson Relation and Admissibility Condition in Noncommutative Geometry

Abstract

Ginsparg-Wilson relation and admissibility condition have the key role to construct lattice chiral gauge theories. They are also useful to define the chiral structure in finite noncommutative geometries or matrix models. We discuss their usefulness briefly.

Comments: Latex 4 pages, uses ptptex.cls. Talk given at Nishinomiya-Yukawa Memorial Symposium on Theoretical Physics ``Noncommutative Geometry and Quantum Spacetime in Physics", Japan, Nov.11-15, 2006. (To be published in the Proceedings)