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Conference Paper/Proceeding/Abstract 940 views

Phase diagram of adjoint QCD at weak coupling and finite volume

Joyce C. Myers, Timothy Hollowood Orcid Logo

Volume: "LAT2009", Start page: 046

Swansea University Author: Timothy Hollowood Orcid Logo

Abstract

The phase diagram of SU(N) gauge theories with fermions in an arbitrary representation R can be calculated on finite volume manifolds such as S^1 x S^3. When S^3 is small a perturbative analysis is possible and the weak-coupling analogue of the pure Yang-Mills theory confinement-deconfinement transi...

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Published: 2009
Online Access: http://inspirehep.net/record/832881
URI: https://cronfa.swan.ac.uk/Record/cronfa28521
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spelling 2016-06-03T14:36:10.2672258 v2 28521 2016-06-03 Phase diagram of adjoint QCD at weak coupling and finite volume ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 2016-06-03 SPH The phase diagram of SU(N) gauge theories with fermions in an arbitrary representation R can be calculated on finite volume manifolds such as S^1 x S^3. When S^3 is small a perturbative analysis is possible and the weak-coupling analogue of the pure Yang-Mills theory confinement-deconfinement transition is accessible in the large N limit. We calculate the large N phase diagram of adjoint QCD [SU(N) gauge theory with adjoint fermions] where periodic boundary conditions are applied to fermions on S^1 such that the confined phase is favored for light enough adjoint fermion mass. We calculate the value of the mass times the radius of S^3 below which the confined phase is favored for all volumes of S^1 / S^3 and discuss the implications for large N volume reduction. We calculate also the phase diagram for N = 3 and compare with recent lattice Conference Paper/Proceeding/Abstract "LAT2009" 046 31 10 2009 2009-10-31 http://inspirehep.net/record/832881 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2016-06-03T14:36:10.2672258 2016-06-03T14:36:10.2672258 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Joyce C. Myers 1 Timothy Hollowood 0000-0002-3258-320X 2
title Phase diagram of adjoint QCD at weak coupling and finite volume
spellingShingle Phase diagram of adjoint QCD at weak coupling and finite volume
Timothy Hollowood
title_short Phase diagram of adjoint QCD at weak coupling and finite volume
title_full Phase diagram of adjoint QCD at weak coupling and finite volume
title_fullStr Phase diagram of adjoint QCD at weak coupling and finite volume
title_full_unstemmed Phase diagram of adjoint QCD at weak coupling and finite volume
title_sort Phase diagram of adjoint QCD at weak coupling and finite volume
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
author Timothy Hollowood
author2 Joyce C. Myers
Timothy Hollowood
format Conference Paper/Proceeding/Abstract
container_volume "LAT2009"
container_start_page 046
publishDate 2009
institution Swansea University
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/832881
document_store_str 0
active_str 0
description The phase diagram of SU(N) gauge theories with fermions in an arbitrary representation R can be calculated on finite volume manifolds such as S^1 x S^3. When S^3 is small a perturbative analysis is possible and the weak-coupling analogue of the pure Yang-Mills theory confinement-deconfinement transition is accessible in the large N limit. We calculate the large N phase diagram of adjoint QCD [SU(N) gauge theory with adjoint fermions] where periodic boundary conditions are applied to fermions on S^1 such that the confined phase is favored for light enough adjoint fermion mass. We calculate the value of the mass times the radius of S^3 below which the confined phase is favored for all volumes of S^1 / S^3 and discuss the implications for large N volume reduction. We calculate also the phase diagram for N = 3 and compare with recent lattice
published_date 2009-10-31T03:34:43Z
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score 11.013148

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