Mobility edge in lattice QCD

Maarten Golterman; Yigal Shamir; Benjamin Svetitsky

doi:10.1103/PhysRevD.71.071502

Mobility edge in lattice QCD

Maarten Golterman^*
, Yigal Shamir
, Benjamin Svetitsky

^*Corresponding author for this work

School of Physics and Astronomy

San Francisco State University

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

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.

Original language	English
Article number	071502
Pages (from-to)	1-5
Number of pages	5
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	71
Issue number	7
DOIs	https://doi.org/10.1103/PhysRevD.71.071502
State	Published - 1 Apr 2005

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10.1103/PhysRevD.71.071502

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title = "Mobility edge in lattice QCD",

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

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

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Mobility edge in lattice QCD

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