Mobility edge in lattice QCD
Abstract
We determine the location λc 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 λc>0 we also determine some key properties of the localized eigenmodes with eigenvalues |λ|<λc. Our results lead to simple tests for the validity of simulations with overlap and domain-wall fermions.
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