Mobility edge in lattice QCD

Abstract

We determine the location ${\lambda }_c$ of the mobility edge in the spectrum of the hermitian Wilson operator on quenched ensembles. We confirm a theoretical picture of localization proposed for the Aoki phase diagram. When ${\lambda }_c>0$ we also determine some key properties of the localized eigenmodes with eigenvalues $|\lambda |<{\lambda }_c$. Our results lead to simple tests for the validity of simulations with overlap and domain-wall fermions.

Comments: revtex, 4 pages, 1 figure, minor changes