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Breakdown of cluster decomposition in instanton calculations of the gluino condensate

Valentin V. Khoze, Weon-Jong Lee, Michael P. Mattis, Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B570", Issue: 1-2, Pages: 241 - 266

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/S0550-3213(99)00503-9

Abstract

A longstanding puzzle concerns the calculation of the gluino condensate <{tr\lambda^2\over 16\pi^2}> = c\Lambda^3 in N=1 supersymmetric SU(N) gauge theory: so-called weak-coupling instanton (WCI) calculations give c=1, whereas strong-coupling instanton (SCI) calculations give, instead, c=2[(N-...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1999
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28562
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first_indexed 2016-06-03T19:16:24Z
last_indexed 2018-02-09T05:12:50Z
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spelling 2016-06-03T14:36:41.4050254 v2 28562 2016-06-03 Breakdown of cluster decomposition in instanton calculations of the gluino condensate ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH A longstanding puzzle concerns the calculation of the gluino condensate <{tr\lambda^2\over 16\pi^2}> = c\Lambda^3 in N=1 supersymmetric SU(N) gauge theory: so-called weak-coupling instanton (WCI) calculations give c=1, whereas strong-coupling instanton (SCI) calculations give, instead, c=2[(N-1)!(3N-1)]^{-1/N}. By examining correlators of this condensate in arbitrary multi-instanton sectors, we cast serious doubt on the SCI calculation of <{tr\lambda^2\over 16\pi^2}> by showing that an essential step --- namely cluster decomposition --- is invalid. We also show that the addition of a so-called Kovner-Shifman vacuum (in which <{tr\lambda^2\over 16\pi^2}> = 0) cannot straightforwardly resolve this Journal Article Nuclear Physics B "B570" 1-2 241 266 05503213 30 4 1999 1999-04-30 10.1016/S0550-3213(99)00503-9 http://inspirehep.net/record/498380 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:41.4050254 2016-06-03T14:36:41.2022241 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Valentin V. Khoze 1 Weon-Jong Lee 2 Michael P. Mattis 3 Timothy Hollowood 0000-0002-3258-320X 4
title Breakdown of cluster decomposition in instanton calculations of the gluino condensate
spellingShingle Breakdown of cluster decomposition in instanton calculations of the gluino condensate
Timothy Hollowood
title_short Breakdown of cluster decomposition in instanton calculations of the gluino condensate
title_full Breakdown of cluster decomposition in instanton calculations of the gluino condensate
title_fullStr Breakdown of cluster decomposition in instanton calculations of the gluino condensate
title_full_unstemmed Breakdown of cluster decomposition in instanton calculations of the gluino condensate
title_sort Breakdown of cluster decomposition in instanton calculations of the gluino condensate
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Valentin V. Khoze
Weon-Jong Lee
Michael P. Mattis
Timothy Hollowood
format Journal article
container_title Nuclear Physics B
container_volume "B570"
container_issue 1-2
container_start_page 241
publishDate 1999
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(99)00503-9
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/498380
document_store_str 0
active_str 0
description A longstanding puzzle concerns the calculation of the gluino condensate <{tr\lambda^2\over 16\pi^2}> = c\Lambda^3 in N=1 supersymmetric SU(N) gauge theory: so-called weak-coupling instanton (WCI) calculations give c=1, whereas strong-coupling instanton (SCI) calculations give, instead, c=2[(N-1)!(3N-1)]^{-1/N}. By examining correlators of this condensate in arbitrary multi-instanton sectors, we cast serious doubt on the SCI calculation of <{tr\lambda^2\over 16\pi^2}> by showing that an essential step --- namely cluster decomposition --- is invalid. We also show that the addition of a so-called Kovner-Shifman vacuum (in which <{tr\lambda^2\over 16\pi^2}> = 0) cannot straightforwardly resolve this
published_date 1999-04-30T03:34:47Z
_version_ 1763751480350736384
score 11.036706

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