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The Running of the bare coupling in SU(N) gauge theories

Michael Teper, Aurora Trivini, Chris Allton Orcid Logo

Volume: "LAT2007", Start page: 280

Swansea University Author: Chris Allton Orcid Logo

Abstract

For N>4 there is a first order bulk transition that cleanly separates the strong and weak coupling regimes of SU(N) lattice gauge theories with the plaquette action. We find that in this case the calculated string tension can be readily fitted throughout the weak coupling region by a standard 3-l...

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Published: 2007
Online Access: http://inspirehep.net/record/763258
URI: https://cronfa.swan.ac.uk/Record/cronfa28424
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spelling 2016-08-08T12:46:37.6047714 v2 28424 2016-06-02 The Running of the bare coupling in SU(N) gauge theories de706a260fa1e1e47430693e135f41c7 0000-0003-0795-124X Chris Allton Chris Allton true false 2016-06-02 SPH For N>4 there is a first order bulk transition that cleanly separates the strong and weak coupling regimes of SU(N) lattice gauge theories with the plaquette action. We find that in this case the calculated string tension can be readily fitted throughout the weak coupling region by a standard 3-loop perturbative expression modified by lattice spacing corrections of the expected form. While our fits demand the presence of the latter, they are not constraining enough to tell us which of the various bare coupling schemes is a `good' one, in the sense that terms in the beta-function beyond 3-loops are indeed negligible (in the relevant range of scales). To resolve this ambiguity we work in SU(3), using the Schrodinger Functional coupling scheme as a benchmark, and find that the Parisi mean-field improved coupling scheme matches it very well. Using the latter scheme, we have fitted the values of the string tension that have been calculated for SU(3) to SU(8), to obtain Lambda_MSbar/sqrt(sigma) = 0.503(2)(40) + 0.33(3)(3)/N**2, where the first error is statistical and the second is our estimate of the systematic error from all sources. Conference Paper/Proceeding/Abstract "LAT2007" 280 31 12 2007 2007-12-31 http://inspirehep.net/record/763258 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-08-08T12:46:37.6047714 2016-06-02T15:05:42.8787157 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Michael Teper 1 Aurora Trivini 2 Chris Allton 0000-0003-0795-124X 3
title The Running of the bare coupling in SU(N) gauge theories
spellingShingle The Running of the bare coupling in SU(N) gauge theories
Chris Allton
title_short The Running of the bare coupling in SU(N) gauge theories
title_full The Running of the bare coupling in SU(N) gauge theories
title_fullStr The Running of the bare coupling in SU(N) gauge theories
title_full_unstemmed The Running of the bare coupling in SU(N) gauge theories
title_sort The Running of the bare coupling in SU(N) gauge theories
author_id_str_mv de706a260fa1e1e47430693e135f41c7
author_id_fullname_str_mv de706a260fa1e1e47430693e135f41c7_***_Chris Allton
author Chris Allton
author2 Michael Teper
Aurora Trivini
Chris Allton
format Conference Paper/Proceeding/Abstract
container_volume "LAT2007"
container_start_page 280
publishDate 2007
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://inspirehep.net/record/763258
document_store_str 0
active_str 0
description For N>4 there is a first order bulk transition that cleanly separates the strong and weak coupling regimes of SU(N) lattice gauge theories with the plaquette action. We find that in this case the calculated string tension can be readily fitted throughout the weak coupling region by a standard 3-loop perturbative expression modified by lattice spacing corrections of the expected form. While our fits demand the presence of the latter, they are not constraining enough to tell us which of the various bare coupling schemes is a `good' one, in the sense that terms in the beta-function beyond 3-loops are indeed negligible (in the relevant range of scales). To resolve this ambiguity we work in SU(3), using the Schrodinger Functional coupling scheme as a benchmark, and find that the Parisi mean-field improved coupling scheme matches it very well. Using the latter scheme, we have fitted the values of the string tension that have been calculated for SU(3) to SU(8), to obtain Lambda_MSbar/sqrt(sigma) = 0.503(2)(40) + 0.33(3)(3)/N**2, where the first error is statistical and the second is our estimate of the systematic error from all sources.
published_date 2007-12-31T03:34:33Z
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score 11.03559

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