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arxiv: hep-lat/0407021 · v3 · submitted 2004-07-13 · ✦ hep-lat · cond-mat.dis-nn

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Mobility edge in lattice QCD

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classification ✦ hep-lat cond-mat.dis-nn
keywords lambdadetermineedgemobilityaokiconfirmdiagramdomain-wall
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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.

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  1. Domain wall fermions

    hep-lat 2026-03 unverdicted novelty 2.0

    Domain wall fermions recover exact chiral symmetry in the infinite fifth-dimension limit and produce an effective 4D operator satisfying the Ginsparg-Wilson relation.