A New Solution to Ginsparg-Wilson Relation from Generalized Staggered Fermion

Abstract

A generalized anti-hermitian staggered Dirac operator is formulated. Its relation with noncommutative geometry is briefly reviewed. Once this anti-hermitian operator is modified to be ``${\gamma }^5$-hermitian'', it will provide a new solution to Ginsparg-Wilson relation, basing on an abstract algebraic analysis of Neuberger's overlap construction and a redefinition of chirality.

REVTEX, 7 pages, no figure