Mobility edge in lattice QCD

Details Mobility edge in lattice QCD Mobility edge in lattice QCD

2004-07-13

arxiv.org/abs/hep-lat/0407021v3

Phys.Rev.D71:071502,2005

Physics

High Energy Physics

High Energy Physics - Lattice

revtex, 4 pages, 1 figure, minor changes

Scientific paper

10.1103/PhysRevD.71.071502

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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