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Properties of the deconfining phase transition in SU(N) gauge theories

Michael Teper, Urs Wenger, Biagio Lucini Orcid Logo

Journal of High Energy Physics, Volume: "0502", Issue: 02, Pages: 033 - 033

Swansea University Author: Biagio Lucini Orcid Logo

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DOI (Published version): 10.1088/1126-6708/2005/02/033

Abstract

We extend our earlier investigation of the finite temperature deconfinement transition in SU(N) gauge theories, with the emphasis on what happens as N->oo. We calculate the latent heat in the continuum limit, and find the expected quadratic in N behaviour at large N. We confirm that the phase tra...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2005
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URI: https://cronfa.swan.ac.uk/Record/cronfa27939
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spelling 2016-05-14T16:42:13.4295007 v2 27939 2016-05-14 Properties of the deconfining phase transition in SU(N) gauge theories 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SMA We extend our earlier investigation of the finite temperature deconfinement transition in SU(N) gauge theories, with the emphasis on what happens as N->oo. We calculate the latent heat in the continuum limit, and find the expected quadratic in N behaviour at large N. We confirm that the phase transition, which is second order for SU(2) and weakly first order for SU(3), becomes robustly first order for N>3 and strengthens as N increases. As an aside, we explain why the SU(2) specific heat shows no sign of any peak as T is varied across what is supposedly a second order phase transition. We calculate the effective string tension and electric gluon masses at T=Tc confirming the discontinuous nature of the transition for N>2. We explicitly show that the large-N `spatial' string tension does not vary with T for T<Tc and that it is discontinuous at T=Tc. For T>Tc it increases as T-squared to a good approximation, and the k-string tension ratios closely satisfy Casimir Scaling. Within very small errors, we find a single Tc at which all the k-strings deconfine, i.e. a step-by-step breaking of the relevant centre symmetry does not occur. We calculate the interface tension but are unable to distinguish between linear or quadratic in N variations, each of which can lead to a striking but different N=oo deconfinement scenario. We remark on the location of the bulk phase transition, which bounds the range of our large-N calculations on the strong coupling side, and within whose hysteresis some of our larger-N calculations are performed. Journal Article Journal of High Energy Physics "0502" 02 033 033 1029-8479 28 2 2005 2005-02-28 10.1088/1126-6708/2005/02/033 http://inspirehep.net/record/676093 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-05-14T16:42:13.4295007 2016-05-14T16:42:13.2422995 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Michael Teper 1 Urs Wenger 2 Biagio Lucini 0000-0001-8974-8266 3
title Properties of the deconfining phase transition in SU(N) gauge theories
spellingShingle Properties of the deconfining phase transition in SU(N) gauge theories
Biagio Lucini
title_short Properties of the deconfining phase transition in SU(N) gauge theories
title_full Properties of the deconfining phase transition in SU(N) gauge theories
title_fullStr Properties of the deconfining phase transition in SU(N) gauge theories
title_full_unstemmed Properties of the deconfining phase transition in SU(N) gauge theories
title_sort Properties of the deconfining phase transition in SU(N) gauge theories
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 Michael Teper
Urs Wenger
Biagio Lucini
format Journal article
container_title Journal of High Energy Physics
container_volume "0502"
container_issue 02
container_start_page 033
publishDate 2005
institution Swansea University
issn 1029-8479
doi_str_mv 10.1088/1126-6708/2005/02/033
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/676093
document_store_str 0
active_str 0
description We extend our earlier investigation of the finite temperature deconfinement transition in SU(N) gauge theories, with the emphasis on what happens as N->oo. We calculate the latent heat in the continuum limit, and find the expected quadratic in N behaviour at large N. We confirm that the phase transition, which is second order for SU(2) and weakly first order for SU(3), becomes robustly first order for N>3 and strengthens as N increases. As an aside, we explain why the SU(2) specific heat shows no sign of any peak as T is varied across what is supposedly a second order phase transition. We calculate the effective string tension and electric gluon masses at T=Tc confirming the discontinuous nature of the transition for N>2. We explicitly show that the large-N `spatial' string tension does not vary with T for T<Tc and that it is discontinuous at T=Tc. For T>Tc it increases as T-squared to a good approximation, and the k-string tension ratios closely satisfy Casimir Scaling. Within very small errors, we find a single Tc at which all the k-strings deconfine, i.e. a step-by-step breaking of the relevant centre symmetry does not occur. We calculate the interface tension but are unable to distinguish between linear or quadratic in N variations, each of which can lead to a striking but different N=oo deconfinement scenario. We remark on the location of the bulk phase transition, which bounds the range of our large-N calculations on the strong coupling side, and within whose hysteresis some of our larger-N calculations are performed.
published_date 2005-02-28T03:33:56Z
_version_ 1763751427073638400
score 11.036706

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