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Remarks on stable and quasi-stable k-strings at large N

M. Shifman, Adi Armoni Orcid Logo

Nuclear Physics B, Volume: "B671", Pages: 67 - 94

Swansea University Author: Adi Armoni Orcid Logo

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DOI (Published version): 10.1016/j.nuclphysb.2003.08.021

Abstract

We discuss k-strings in the large-N Yang-Mills theory and its supersymmetric extension. Whereas the tension of the bona fide (stable) QCD string is expected to depend only on the N-ality of the representation, tensions that depend on specific representation R are often reported in the lattice litera...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 2003
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URI: https://cronfa.swan.ac.uk/Record/cronfa28669
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first_indexed 2016-06-04T12:47:05Z
last_indexed 2018-02-09T05:13:01Z
id cronfa28669
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spelling 2016-06-04T06:08:28.5080939 v2 28669 2016-06-04 Remarks on stable and quasi-stable k-strings at large N 3f75faad0563a2d3b191191a2efee956 0000-0002-8105-0645 Adi Armoni Adi Armoni true false 2016-06-04 SPH We discuss k-strings in the large-N Yang-Mills theory and its supersymmetric extension. Whereas the tension of the bona fide (stable) QCD string is expected to depend only on the N-ality of the representation, tensions that depend on specific representation R are often reported in the lattice literature. In particular, adjoint strings are discussed and found in certain simulations. We clarify this issue by systematically exploiting the notion of the quasi-stable strings which becomes well-defined at large N. The quasi-stable strings with representation-dependent tensions decay, but the decay rate (per unit length per unit time) is suppressed as Lambda^2 F(N) where F(N) falls off as a function of N. It can be determined on the case-by-case basis. The quasi-stable strings eventually decay into stable strings whose tension indeed depends only on the N-ality. We also briefly review large-N arguments showing why the Casimir formula for the string tension cannot be correct, and present additional arguments in favor of the sine formula. Finally, we comment on the relevance of our estimates to Euclidean lattice Journal Article Nuclear Physics B "B671" 67 94 05503213 31 7 2003 2003-07-31 10.1016/j.nuclphysb.2003.08.021 http://inspirehep.net/record/622531 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-04T06:08:28.5080939 2016-06-04T06:08:28.3052926 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics M. Shifman 1 Adi Armoni 0000-0002-8105-0645 2
title Remarks on stable and quasi-stable k-strings at large N
spellingShingle Remarks on stable and quasi-stable k-strings at large N
Adi Armoni
title_short Remarks on stable and quasi-stable k-strings at large N
title_full Remarks on stable and quasi-stable k-strings at large N
title_fullStr Remarks on stable and quasi-stable k-strings at large N
title_full_unstemmed Remarks on stable and quasi-stable k-strings at large N
title_sort Remarks on stable and quasi-stable k-strings at large N
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 "B671"
container_start_page 67
publishDate 2003
institution Swansea University
issn 05503213
doi_str_mv 10.1016/j.nuclphysb.2003.08.021
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/622531
document_store_str 0
active_str 0
description We discuss k-strings in the large-N Yang-Mills theory and its supersymmetric extension. Whereas the tension of the bona fide (stable) QCD string is expected to depend only on the N-ality of the representation, tensions that depend on specific representation R are often reported in the lattice literature. In particular, adjoint strings are discussed and found in certain simulations. We clarify this issue by systematically exploiting the notion of the quasi-stable strings which becomes well-defined at large N. The quasi-stable strings with representation-dependent tensions decay, but the decay rate (per unit length per unit time) is suppressed as Lambda^2 F(N) where F(N) falls off as a function of N. It can be determined on the case-by-case basis. The quasi-stable strings eventually decay into stable strings whose tension indeed depends only on the N-ality. We also briefly review large-N arguments showing why the Casimir formula for the string tension cannot be correct, and present additional arguments in favor of the sine formula. Finally, we comment on the relevance of our estimates to Euclidean lattice
published_date 2003-07-31T03:34:55Z
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score 11.036706

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