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Conference Paper/Proceeding/Abstract 761 views

't Hooft loops and perturbation theory

David Noth, Philippe de Forcrand, Biagio Lucini Orcid Logo

Volume: "LAT2005", Start page: 323

Swansea University Author: Biagio Lucini Orcid Logo

Abstract

We show that high-temperature perturbation theory describes extremely well the area law of SU(N) spatial 't Hooft loops, or equivalently the tension of the interface between different Z_N vacua in the deconfined phase. For SU(2), the disagreement between Monte Carlo data and lattice perturbatio...

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Published: 2005
Online Access: http://inspirehep.net/record/695151
URI: https://cronfa.swan.ac.uk/Record/cronfa27936
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spelling 2016-05-14T16:42:11.8070903 v2 27936 2016-05-14 't Hooft loops and perturbation theory 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2016-05-14 SMA We show that high-temperature perturbation theory describes extremely well the area law of SU(N) spatial 't Hooft loops, or equivalently the tension of the interface between different Z_N vacua in the deconfined phase. For SU(2), the disagreement between Monte Carlo data and lattice perturbation theory for sigma(T)/T^2 is less than 2%, down to temperatures O(10) T_c. For SU(N), N>3, the ratios of interface tensions, (sigma_k/sigma_1)(T), agree with perturbation theory, which predicts tiny deviations from the ratio of Casimirs, down to nearly T_c. In contrast, individual tensions differ markedly from the perturbative expression. In all cases, the required precision Monte Carlo measurements are made possible by a simple but powerful modification of the 'snake' algorithm. Conference Paper/Proceeding/Abstract "LAT2005" 323 31 10 2005 2005-10-31 http://inspirehep.net/record/695151 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2016-05-14T16:42:11.8070903 2016-05-14T16:42:11.8070903 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics David Noth 1 Philippe de Forcrand 2 Biagio Lucini 0000-0001-8974-8266 3
title 't Hooft loops and perturbation theory
spellingShingle 't Hooft loops and perturbation theory
Biagio Lucini
title_short 't Hooft loops and perturbation theory
title_full 't Hooft loops and perturbation theory
title_fullStr 't Hooft loops and perturbation theory
title_full_unstemmed 't Hooft loops and perturbation theory
title_sort 't Hooft loops and perturbation theory
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 David Noth
Philippe de Forcrand
Biagio Lucini
format Conference Paper/Proceeding/Abstract
container_volume "LAT2005"
container_start_page 323
publishDate 2005
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/695151
document_store_str 0
active_str 0
description We show that high-temperature perturbation theory describes extremely well the area law of SU(N) spatial 't Hooft loops, or equivalently the tension of the interface between different Z_N vacua in the deconfined phase. For SU(2), the disagreement between Monte Carlo data and lattice perturbation theory for sigma(T)/T^2 is less than 2%, down to temperatures O(10) T_c. For SU(N), N>3, the ratios of interface tensions, (sigma_k/sigma_1)(T), agree with perturbation theory, which predicts tiny deviations from the ratio of Casimirs, down to nearly T_c. In contrast, individual tensions differ markedly from the perturbative expression. In all cases, the required precision Monte Carlo measurements are made possible by a simple but powerful modification of the 'snake' algorithm.
published_date 2005-10-31T03:33:56Z
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