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Gluino condensate and magnetic monopoles in supersymmetric gluodynamics

Valentin V. Khoze, N.Michael Davies, Michael P. Mattis, Timothy Hollowood Orcid Logo

Nuclear Physics B, Volume: "B559", Issue: 1-2, Pages: 123 - 142

Swansea University Author: Timothy Hollowood Orcid Logo

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DOI (Published version): 10.1016/S0550-3213(99)00434-4

Abstract

We examine supersymmetric SU(N) gauge theories on R^3*S^1 with a circle of circumference beta. These theories interpolate between four-dimensional N=1 pure gauge theory for beta=infinity and three-dimensional N=2 gauge theory for beta=0. The dominant field configurations of the R^3*S^1 SU(N) theorie...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 1999
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URI: https://cronfa.swan.ac.uk/Record/cronfa28561
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spelling 2016-06-03T14:36:40.5626200 v2 28561 2016-06-03 Gluino condensate and magnetic monopoles in supersymmetric gluodynamics ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH We examine supersymmetric SU(N) gauge theories on R^3*S^1 with a circle of circumference beta. These theories interpolate between four-dimensional N=1 pure gauge theory for beta=infinity and three-dimensional N=2 gauge theory for beta=0. The dominant field configurations of the R^3*S^1 SU(N) theories in the semi-classical regime arise from N varieties of monopole. Periodic instanton configurations correspond to mixed configurations of N single monopoles of the N different types. We semi-classically evaluate the non-perturbatively generated superpotential of the R^3*S^1 theory and hence determine its vacuum structure. We then calculate monopole contributions to the gluino condensate in these theories and take the decompactification limit beta=infinity. In this way we obtain a value for the gluino condensate in the four-dimensional N=1 supersymmetric SU(N) Yang-Mills theory, which agrees with the previously known `weak coupling' expression but not with the `strong coupling' expression derived in the early literature solely from instanton considerations. Moreover, we discover that the superpotential gives a mass to the dual (magnetic) photon, which implies confinement of the original electric photon and disappearance of all the massless Journal Article Nuclear Physics B "B559" 1-2 123 142 05503213 31 5 1999 1999-05-31 10.1016/S0550-3213(99)00434-4 http://inspirehep.net/record/499255 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:40.5626200 2016-06-03T14:36:40.3442186 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Valentin V. Khoze 1 N.Michael Davies 2 Michael P. Mattis 3 Timothy Hollowood 0000-0002-3258-320X 4
title Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
spellingShingle Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
Timothy Hollowood
title_short Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
title_full Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
title_fullStr Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
title_full_unstemmed Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
title_sort Gluino condensate and magnetic monopoles in supersymmetric gluodynamics
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Valentin V. Khoze
N.Michael Davies
Michael P. Mattis
Timothy Hollowood
format Journal article
container_title Nuclear Physics B
container_volume "B559"
container_issue 1-2
container_start_page 123
publishDate 1999
institution Swansea University
issn 05503213
doi_str_mv 10.1016/S0550-3213(99)00434-4
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/499255
document_store_str 0
active_str 0
description We examine supersymmetric SU(N) gauge theories on R^3*S^1 with a circle of circumference beta. These theories interpolate between four-dimensional N=1 pure gauge theory for beta=infinity and three-dimensional N=2 gauge theory for beta=0. The dominant field configurations of the R^3*S^1 SU(N) theories in the semi-classical regime arise from N varieties of monopole. Periodic instanton configurations correspond to mixed configurations of N single monopoles of the N different types. We semi-classically evaluate the non-perturbatively generated superpotential of the R^3*S^1 theory and hence determine its vacuum structure. We then calculate monopole contributions to the gluino condensate in these theories and take the decompactification limit beta=infinity. In this way we obtain a value for the gluino condensate in the four-dimensional N=1 supersymmetric SU(N) Yang-Mills theory, which agrees with the previously known `weak coupling' expression but not with the `strong coupling' expression derived in the early literature solely from instanton considerations. Moreover, we discover that the superpotential gives a mass to the dual (magnetic) photon, which implies confinement of the original electric photon and disappearance of all the massless
published_date 1999-05-31T03:34:47Z
_version_ 1763751480230150144
score 11.036706

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