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Double scaling limits in gauge theories and matrix models

Gaetano Bertoldi, J.Luis Miramontes, Timothy Hollowood Orcid Logo

Journal of High Energy Physics, Volume: "06", Issue: 06, Pages: 045 - 045

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2006/06/045

Abstract

We show that $\N=1$ gauge theories with an adjoint chiral multiplet admit a wide class of large-N double-scaling limits where $N$ is taken to infinity in a way coordinated with a tuning of the bare superpotential. The tuning is such that the theory is near an Argyres-Douglas-type singularity where a...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2006
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URI: https://cronfa.swan.ac.uk/Record/cronfa28528
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first_indexed 2016-06-03T19:16:14Z
last_indexed 2018-02-09T05:12:45Z
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spelling 2016-06-03T14:36:15.5088594 v2 28528 2016-06-03 Double scaling limits in gauge theories and matrix models ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH We show that $\N=1$ gauge theories with an adjoint chiral multiplet admit a wide class of large-N double-scaling limits where $N$ is taken to infinity in a way coordinated with a tuning of the bare superpotential. The tuning is such that the theory is near an Argyres-Douglas-type singularity where a set of non-local dibaryons becomes massless in conjunction with a set of confining strings becoming tensionless. The doubly-scaled theory consists of two decoupled sectors, one whose spectrum and interactions follow the usual large-N scaling whilst the other has light states of fixed mass in the large-N limit which subvert the usual large-N scaling and lead to an interacting theory in the limit. $F$-term properties of this interacting sector can be calculated using a Dijkgraaf-Vafa matrix model and in this context the double-scaling limit is precisely the kind investigated in the old matrix model'' to describe two-dimensional gravity coupled to $c<1$ conformal field theories. In particular, the old matrix model double-scaling limit describes a sector of a gauge theory with a mass gap and light meson-like composite states, the approximate Goldstone boson of superconformal invariance, with a mass which is fixed in the double-scaling limit. Consequently, the gravitational $F$-terms in these cases satisfy the string equation of the KdV Journal Article Journal of High Energy Physics "06" 06 045 045 1029-8479 31 3 2006 2006-03-31 10.1088/1126-6708/2006/06/045 http://inspirehep.net/record/712514 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:15.5088594 2016-06-03T14:36:15.3216582 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Gaetano Bertoldi 1 J.Luis Miramontes 2 Timothy Hollowood 0000-0002-3258-320X 3
title Double scaling limits in gauge theories and matrix models
spellingShingle Double scaling limits in gauge theories and matrix models
Timothy Hollowood
title_short Double scaling limits in gauge theories and matrix models
title_full Double scaling limits in gauge theories and matrix models
title_fullStr Double scaling limits in gauge theories and matrix models
title_full_unstemmed Double scaling limits in gauge theories and matrix models
title_sort Double scaling limits in gauge theories and matrix models
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Gaetano Bertoldi
J.Luis Miramontes
Timothy Hollowood
format Journal article
container_title Journal of High Energy Physics
container_volume "06"
container_issue 06
container_start_page 045
publishDate 2006
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2006/06/045
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/712514
document_store_str 0
active_str 0
description We show that $\N=1$ gauge theories with an adjoint chiral multiplet admit a wide class of large-N double-scaling limits where $N$ is taken to infinity in a way coordinated with a tuning of the bare superpotential. The tuning is such that the theory is near an Argyres-Douglas-type singularity where a set of non-local dibaryons becomes massless in conjunction with a set of confining strings becoming tensionless. The doubly-scaled theory consists of two decoupled sectors, one whose spectrum and interactions follow the usual large-N scaling whilst the other has light states of fixed mass in the large-N limit which subvert the usual large-N scaling and lead to an interacting theory in the limit. $F$-term properties of this interacting sector can be calculated using a Dijkgraaf-Vafa matrix model and in this context the double-scaling limit is precisely the kind investigated in the old matrix model'' to describe two-dimensional gravity coupled to $c<1$ conformal field theories. In particular, the old matrix model double-scaling limit describes a sector of a gauge theory with a mass gap and light meson-like composite states, the approximate Goldstone boson of superconformal invariance, with a mass which is fixed in the double-scaling limit. Consequently, the gravitational $F$-terms in these cases satisfy the string equation of the KdV
published_date 2006-03-31T03:34:43Z
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score 11.01353

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