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Conference Paper/Proceeding/Abstract 784 views

k-String tensions and their large-N dependence

J. Greensite, A. Patella, Biagio Lucini Orcid Logo

Volume: "LATTICE2011", Start page: 267

Swansea University Author: Biagio Lucini Orcid Logo

Abstract

We consider whether the 1/N corrections to k-string tensions must begin at order 1/N^2, as in the Sine Law, or whether odd powers of 1/N, as in Casimir Scaling, are also acceptable. The issue is important because different models of confinement differ in their predictions for the representation-depe...

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Published: 2011
Online Access: http://inspirehep.net/record/944438
URI: https://cronfa.swan.ac.uk/Record/cronfa27918
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last_indexed 2018-02-09T05:11:29Z
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spelling 2016-05-14T16:42:02.8526329 v2 27918 2016-05-14 k-String tensions and their large-N dependence 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SMA We consider whether the 1/N corrections to k-string tensions must begin at order 1/N^2, as in the Sine Law, or whether odd powers of 1/N, as in Casimir Scaling, are also acceptable. The issue is important because different models of confinement differ in their predictions for the representation-dependence of k-string tensions, and corrections involving odd powers of 1/N would seem to be ruled out by the large-N expansion. We show, however, that k-string tensions may, in fact, have leading 1/N corrections, and consistency with the large-N expansion, in the open string sector, is achieved by an exact pairwise cancellation among terms involving odd powers of 1/N in particular combinations of Wilson loops. It is shown how these cancellations come about in a concrete example, namely, strong coupling lattice gauge theory with the heat-kernel action, in which k-string tensions follow the Casimir scaling rule. Conference Paper/Proceeding/Abstract "LATTICE2011" 267 30 11 2011 2011-11-30 http://inspirehep.net/record/944438 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-05-14T16:42:02.8526329 2016-05-14T16:42:02.8526329 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics J. Greensite 1 A. Patella 2 Biagio Lucini 0000-0001-8974-8266 3
title k-String tensions and their large-N dependence
spellingShingle k-String tensions and their large-N dependence
Biagio Lucini
title_short k-String tensions and their large-N dependence
title_full k-String tensions and their large-N dependence
title_fullStr k-String tensions and their large-N dependence
title_full_unstemmed k-String tensions and their large-N dependence
title_sort k-String tensions and their large-N dependence
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 J. Greensite
A. Patella
Biagio Lucini
format Conference Paper/Proceeding/Abstract
container_volume "LATTICE2011"
container_start_page 267
publishDate 2011
institution Swansea University
college_str Faculty of Science and Engineering
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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/944438
document_store_str 0
active_str 0
description We consider whether the 1/N corrections to k-string tensions must begin at order 1/N^2, as in the Sine Law, or whether odd powers of 1/N, as in Casimir Scaling, are also acceptable. The issue is important because different models of confinement differ in their predictions for the representation-dependence of k-string tensions, and corrections involving odd powers of 1/N would seem to be ruled out by the large-N expansion. We show, however, that k-string tensions may, in fact, have leading 1/N corrections, and consistency with the large-N expansion, in the open string sector, is achieved by an exact pairwise cancellation among terms involving odd powers of 1/N in particular combinations of Wilson loops. It is shown how these cancellations come about in a concrete example, namely, strong coupling lattice gauge theory with the heat-kernel action, in which k-string tensions follow the Casimir scaling rule.
published_date 2011-11-30T03:33:54Z
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score 11.013731

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