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On k-string tensions and domain walls in gluodynamics

M. Shifman, Adi Armoni Orcid Logo

Nuclear Physics B, Volume: "B664", Issue: 1-2, Pages: 233 - 246

Swansea University Author: Adi Armoni Orcid Logo

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DOI (Published version): 10.1016/S0550-3213(03)00409-7

Abstract

We discuss the k dependence of the k-string tension sigma_k in SU(N) supersymmetric gluodynamics. As well known, at large N the k-string consists, to leading order, of k noninteracting fundamental strings, so that sigma_k=k sigma_1. We argue, both from field-theory and string-theory side, that suble...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 2003
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URI: https://cronfa.swan.ac.uk/Record/cronfa28670
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first_indexed 2016-06-04T12:47:06Z
last_indexed 2018-02-09T05:13:01Z
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spelling 2016-06-04T06:08:29.1476980 v2 28670 2016-06-04 On k-string tensions and domain walls in gluodynamics 3f75faad0563a2d3b191191a2efee956 0000-0002-8105-0645 Adi Armoni Adi Armoni true false 2016-06-04 SPH We discuss the k dependence of the k-string tension sigma_k in SU(N) supersymmetric gluodynamics. As well known, at large N the k-string consists, to leading order, of k noninteracting fundamental strings, so that sigma_k=k sigma_1. We argue, both from field-theory and string-theory side, that subleading corrections to this formula run in powers of 1/N^2 rather than 1/N, thus excluding the Casimir scaling. We suggest a heuristic model allowing one to relate the k-string tension in four-dimensional gluodynamics with the tension of the BPS domain walls (k-walls). In this model the domain walls are made of a net of strings connected to each other by baryon vertices. The relation emerging in this way leads to the sine formula sigma_ k ~ Lambda^2 N sin pi k/N. We discuss possible corrections to the sine law, and present arguments that they are suppressed by 1/k factors. We explain why the sine law does not hold in two dimensions. Finally, we discuss the applicability of the sine formula for non-supersymmetric orientifold field Journal Article Nuclear Physics B "B664" 1-2 233 246 05503213 30 4 2003 2003-04-30 10.1016/S0550-3213(03)00409-7 http://inspirehep.net/record/617015 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-04T06:08:29.1476980 2016-06-04T06:08:28.9604968 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics M. Shifman 1 Adi Armoni 0000-0002-8105-0645 2
title On k-string tensions and domain walls in gluodynamics
spellingShingle On k-string tensions and domain walls in gluodynamics
Adi Armoni
title_short On k-string tensions and domain walls in gluodynamics
title_full On k-string tensions and domain walls in gluodynamics
title_fullStr On k-string tensions and domain walls in gluodynamics
title_full_unstemmed On k-string tensions and domain walls in gluodynamics
title_sort On k-string tensions and domain walls in gluodynamics
author_id_str_mv 3f75faad0563a2d3b191191a2efee956
author_id_fullname_str_mv 3f75faad0563a2d3b191191a2efee956_***_Adi Armoni
author Adi Armoni
author2 M. Shifman
Adi Armoni
format Journal article
container_title Nuclear Physics B
container_volume "B664"
container_issue 1-2
container_start_page 233
publishDate 2003
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(03)00409-7
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/617015
document_store_str 0
active_str 0
description We discuss the k dependence of the k-string tension sigma_k in SU(N) supersymmetric gluodynamics. As well known, at large N the k-string consists, to leading order, of k noninteracting fundamental strings, so that sigma_k=k sigma_1. We argue, both from field-theory and string-theory side, that subleading corrections to this formula run in powers of 1/N^2 rather than 1/N, thus excluding the Casimir scaling. We suggest a heuristic model allowing one to relate the k-string tension in four-dimensional gluodynamics with the tension of the BPS domain walls (k-walls). In this model the domain walls are made of a net of strings connected to each other by baryon vertices. The relation emerging in this way leads to the sine formula sigma_ k ~ Lambda^2 N sin pi k/N. We discuss possible corrections to the sine law, and present arguments that they are suppressed by 1/k factors. We explain why the sine law does not hold in two dimensions. Finally, we discuss the applicability of the sine formula for non-supersymmetric orientifold field
published_date 2003-04-30T03:34:55Z
_version_ 1763751489364295680
score 11.035349

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