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Mobility edge in lattice QCD

Maarten Golterman·Yigal Shamir·Benjamin Svetitsky
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Abstract

We determine the location $λ_c$ 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 $λ_c>0$ we also determine some key properties of the localized eigenmodes with eigenvalues $|λ|<λ_c$. Our results lead to simple tests for the validity of simulations with overlap and domain-wall fermions.

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Maarten Golterman, Yigal Shamir, Benjamin Svetitsky. 2005-03-13. Mobility edge in lattice QCD. https://doi.org/10.1103/physrevd.71.071502

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