Localization of lattice fermions: Lessons for overlap

Benjamin Svetitsky; Yigal Shamir; Maarten Golterman

doi:10.22323/1.020.0129

Localization of lattice fermions: Lessons for overlap

Benjamin Svetitsky, Yigal Shamir, Maarten Golterman

School of Physics and Astronomy

Research output: Contribution to journal › Conference article › peer-review

Abstract

Lattice fermions in a fluctuating gauge field can show localization, much like electrons in a disordered potential. We study the spectrum of localized and extended states of supercritical Wilson fermions in gauge ensembles generated with plaquette and improved actions. When the Wilson fermion operator is used to construct the overlap kernel, the mobility edge, that is the boundary between the localized and extended states, determines the range of the kernel.

Original language	English
Journal	Proceedings of Science
Volume	20
DOIs	https://doi.org/10.22323/1.020.0129
State	Published - 2005
Event	23rd International Symposium on Lattice Field Theory, LAT 2005 - Dublin, Ireland Duration: 25 Jul 2005 → 30 Jul 2005

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abstract = "Lattice fermions in a fluctuating gauge field can show localization, much like electrons in a disordered potential. We study the spectrum of localized and extended states of supercritical Wilson fermions in gauge ensembles generated with plaquette and improved actions. When the Wilson fermion operator is used to construct the overlap kernel, the mobility edge, that is the boundary between the localized and extended states, determines the range of the kernel.",

author = "Benjamin Svetitsky and Yigal Shamir and Maarten Golterman",

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AU - Shamir, Yigal

AU - Golterman, Maarten

N1 - Publisher Copyright: © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-Non Commercial-ShareAlike Licence.

PY - 2005

Y1 - 2005

N2 - Lattice fermions in a fluctuating gauge field can show localization, much like electrons in a disordered potential. We study the spectrum of localized and extended states of supercritical Wilson fermions in gauge ensembles generated with plaquette and improved actions. When the Wilson fermion operator is used to construct the overlap kernel, the mobility edge, that is the boundary between the localized and extended states, determines the range of the kernel.

AB - Lattice fermions in a fluctuating gauge field can show localization, much like electrons in a disordered potential. We study the spectrum of localized and extended states of supercritical Wilson fermions in gauge ensembles generated with plaquette and improved actions. When the Wilson fermion operator is used to construct the overlap kernel, the mobility edge, that is the boundary between the localized and extended states, determines the range of the kernel.

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DO - 10.22323/1.020.0129

M3 - מאמר מכנס

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VL - 20

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

Y2 - 25 July 2005 through 30 July 2005

ER -

Localization of lattice fermions: Lessons for overlap

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