Mobility edge in lattice QCD
Maarten Golterman, Yigal Shamir, Benjamin Svetitsky
TL;DR
This paper identifies the mobility edge in lattice QCD, confirming localization theory and providing insights into eigenmodes, which aids in validating overlap and domain-wall fermion simulations.
Contribution
It precisely determines the mobility edge in lattice QCD and explores properties of localized eigenmodes, supporting the theoretical framework of the Aoki phase diagram.
Findings
Confirmed the location of the mobility edge in lattice QCD spectra.
Characterized properties of localized eigenmodes below the mobility edge.
Provided tests for the validity of overlap and domain-wall fermion simulations.
Abstract
We determine the location 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 we also determine some key properties of the localized eigenmodes with eigenvalues . Our results lead to simple tests for the validity of simulations with overlap and domain-wall fermions.
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