Locality and scaling of quenched overlap fermions

Terrence Draper; Nilmani Mathur; Jianbo Zhang; Andrei Alexandru; Ying Chen; Shao Jing Dong; Ivan Horváth; Frank Lee; Sonali Tamhankar

Locality and scaling of quenched overlap fermions

Terrence Draper, Nilmani Mathur, Jianbo Zhang, Andrei Alexandru, Ying Chen, Shao Jing Dong, Ivan Horváth, Frank Lee, Sonali Tamhankar

Physics And Astronomy

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

Abstract

The overlap fermion offers the tremendous advantage of exact chiral symmetry on the lattice, but is numerically intensive. This can be made affordable while still providing large lattice volumes, by using coarse lattice spacing, given that good scaling and localization properties are established. Here, using overlap fermions on quenched Iwasaki gauge configurations, we demonstrate directly that the overlap Dirac operator's range is comfortably small in lattice units for each of the lattice spacings 0.20 fm, 0.17 fm, and 0.13 fm (and scales to zero in physical units in the continuum limit). In particular, our direct results contradict recent speculation that an inverse lattice spacing of 1GeV is too low to have satisfactory localization. Furthermore, hadronic masses (available on the two coarser lattices) scale very well.

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

Bibliographical note

Funding Information:
¤This research is supported in part by the U.S. Department of Energy under grants DE-FG05-84ER40154, DE-FG02-02ER45967, and DE-FG02-95ER40907. †Speaker.

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

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Cite this

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title = "Locality and scaling of quenched overlap fermions",

abstract = "The overlap fermion offers the tremendous advantage of exact chiral symmetry on the lattice, but is numerically intensive. This can be made affordable while still providing large lattice volumes, by using coarse lattice spacing, given that good scaling and localization properties are established. Here, using overlap fermions on quenched Iwasaki gauge configurations, we demonstrate directly that the overlap Dirac operator's range is comfortably small in lattice units for each of the lattice spacings 0.20 fm, 0.17 fm, and 0.13 fm (and scales to zero in physical units in the continuum limit). In particular, our direct results contradict recent speculation that an inverse lattice spacing of 1GeV is too low to have satisfactory localization. Furthermore, hadronic masses (available on the two coarser lattices) scale very well.",

author = "Terrence Draper and Nilmani Mathur and Jianbo Zhang and Andrei Alexandru and Ying Chen and Dong, {Shao Jing} and Ivan Horv{\'a}th and Frank Lee and Sonali Tamhankar",

note = "Funding Information: ¤This research is supported in part by the U.S. Department of Energy under grants DE-FG05-84ER40154, DE-FG02-02ER45967, and DE-FG02-95ER40907. †Speaker. Publisher Copyright: {\textcopyright} Copyright owned by the author(s) under the terms of the Creative Commons Attribution-Non Commercial-ShareAlike Licence.; 23rd International Symposium on Lattice Field Theory, LAT 2005 ; Conference date: 25-07-2005 Through 30-07-2005",

year = "2005",

language = "English",

volume = "20",

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TY - JOUR

T1 - Locality and scaling of quenched overlap fermions

AU - Draper, Terrence

AU - Mathur, Nilmani

AU - Zhang, Jianbo

AU - Alexandru, Andrei

AU - Chen, Ying

AU - Dong, Shao Jing

AU - Horváth, Ivan

AU - Lee, Frank

AU - Tamhankar, Sonali

N1 - Funding Information: ¤This research is supported in part by the U.S. Department of Energy under grants DE-FG05-84ER40154, DE-FG02-02ER45967, and DE-FG02-95ER40907. †Speaker. 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 - The overlap fermion offers the tremendous advantage of exact chiral symmetry on the lattice, but is numerically intensive. This can be made affordable while still providing large lattice volumes, by using coarse lattice spacing, given that good scaling and localization properties are established. Here, using overlap fermions on quenched Iwasaki gauge configurations, we demonstrate directly that the overlap Dirac operator's range is comfortably small in lattice units for each of the lattice spacings 0.20 fm, 0.17 fm, and 0.13 fm (and scales to zero in physical units in the continuum limit). In particular, our direct results contradict recent speculation that an inverse lattice spacing of 1GeV is too low to have satisfactory localization. Furthermore, hadronic masses (available on the two coarser lattices) scale very well.

AB - The overlap fermion offers the tremendous advantage of exact chiral symmetry on the lattice, but is numerically intensive. This can be made affordable while still providing large lattice volumes, by using coarse lattice spacing, given that good scaling and localization properties are established. Here, using overlap fermions on quenched Iwasaki gauge configurations, we demonstrate directly that the overlap Dirac operator's range is comfortably small in lattice units for each of the lattice spacings 0.20 fm, 0.17 fm, and 0.13 fm (and scales to zero in physical units in the continuum limit). In particular, our direct results contradict recent speculation that an inverse lattice spacing of 1GeV is too low to have satisfactory localization. Furthermore, hadronic masses (available on the two coarser lattices) scale very well.

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UR - http://www.scopus.com/inward/citedby.url?scp=85056885551&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:85056885551

VL - 20

JO - Proceedings of Science

JF - Proceedings of Science

T2 - 23rd International Symposium on Lattice Field Theory, LAT 2005

Y2 - 25 July 2005 through 30 July 2005

ER -

Locality and scaling of quenched overlap fermions

Abstract

Bibliographical note

ASJC Scopus subject areas

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