Mobility edge in lattice QCD
Maarten Golterman, Yigal Shamir, Benjamin Svetitsky
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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