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.

revtex, 4 pages, 1 figure, minor changes

References in corpus (2)

• Twisted mass quarks and the phase structure of lattice QCD
• A numerical reinvestigation of the Aoki phase with N_f=2 Wilson fermions at zero temperature

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