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Topology of gauge theories at and

Michael Teper, Urs Wenger, Biagio Lucini Orcid Logo

Nuclear Physics B, Volume: "B715", Issue: 1-2, Pages: 461 - 482

Swansea University Author: Biagio Lucini Orcid Logo

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DOI (Published version): 10.1016/j.nuclphysb.2005.02.037

Abstract

We calculate the topological charge density of SU(N) lattice gauge fields for values of N up to N=8. Our T=0 topological susceptibility appears to approach a finite non-zero limit at N=infinity that is consistent with earlier extrapolations from smaller values of N. Near the deconfining temperature...

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Published in: Nuclear Physics B
ISSN: 05503213
Published: 2004
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URI: https://cronfa.swan.ac.uk/Record/cronfa27946
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first_indexed 2016-05-15T01:22:51Z
last_indexed 2018-02-09T05:11:33Z
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spelling 2016-05-14T16:42:17.6415277 v2 27946 2016-05-14 Topology of gauge theories at and 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SMA We calculate the topological charge density of SU(N) lattice gauge fields for values of N up to N=8. Our T=0 topological susceptibility appears to approach a finite non-zero limit at N=infinity that is consistent with earlier extrapolations from smaller values of N. Near the deconfining temperature Tc we are able to investigate separately the confined and deconfined phases, since the transition is quite strongly first order. We find that the topological susceptibility of the confined phase is always very similar to that at T=0. By contrast, in the deconfined phase at larger N there are no topological fluctuations except for rare, isolated and small instantons. This shows that as N->infinity the large-T suppression of large instantons and the large-N suppression of small instantons overlap, even at T=Tc, so as to suppress all topological fluctuations in the deconfined phase. In the confined phase by contrast, the size distribution is much the same at all T, becoming more peaked as N grows, suggesting that D(rho) is proportional to a delta function at N=infinity, centered on rho close to 1/Tc. Journal Article Nuclear Physics B "B715" 1-2 461 482 05503213 31 1 2004 2004-01-31 10.1016/j.nuclphysb.2005.02.037 http://inspirehep.net/record/642991 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-05-14T16:42:17.6415277 2016-05-14T16:42:17.4231263 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 Topology of gauge theories at and
spellingShingle Topology of gauge theories at and
Biagio Lucini
title_short Topology of gauge theories at and
title_full Topology of gauge theories at and
title_fullStr Topology of gauge theories at and
title_full_unstemmed Topology of gauge theories at and
title_sort Topology of gauge theories at and
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 Nuclear Physics B
container_volume "B715"
container_issue 1-2
container_start_page 461
publishDate 2004
institution Swansea University
issn 05503213
doi_str_mv 10.1016/j.nuclphysb.2005.02.037
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/642991
document_store_str 0
active_str 0
description We calculate the topological charge density of SU(N) lattice gauge fields for values of N up to N=8. Our T=0 topological susceptibility appears to approach a finite non-zero limit at N=infinity that is consistent with earlier extrapolations from smaller values of N. Near the deconfining temperature Tc we are able to investigate separately the confined and deconfined phases, since the transition is quite strongly first order. We find that the topological susceptibility of the confined phase is always very similar to that at T=0. By contrast, in the deconfined phase at larger N there are no topological fluctuations except for rare, isolated and small instantons. This shows that as N->infinity the large-T suppression of large instantons and the large-N suppression of small instantons overlap, even at T=Tc, so as to suppress all topological fluctuations in the deconfined phase. In the confined phase by contrast, the size distribution is much the same at all T, becoming more peaked as N grows, suggesting that D(rho) is proportional to a delta function at N=infinity, centered on rho close to 1/Tc.
published_date 2004-01-31T03:33:57Z
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score 11.013619

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