Corrections to the Banks-Casher relation with Wilson quarks

Abstract

The Banks-Casher relation links the spectral density of the Dirac operator with the existence of a chiral condensate and spontaneous breaking of chiral symmetry. This relation receives corrections from a finite value of the quark mass, a finite space-time volume and, if evaluated on a discrete lattice, from the finite value of the lattice spacing a. We present a status report of a determination of these corrections for Wilson quarks.

Comments: 6 pages, 4 figures, Chiral Dynamics 2012 proceeding