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't Hooft loops and perturbation theory

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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Detalles Bibliográficos
Autores principales: de Forcrand, Philippe, Lucini, Biagio, Noth, David
Lenguaje:eng
Publicado: 2005
Materias:
Acceso en línea:https://dx.doi.org/10.22323/1.020.0323
http://cds.cern.ch/record/896705
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author de Forcrand, Philippe
Lucini, Biagio
Noth, David
author_facet de Forcrand, Philippe
Lucini, Biagio
Noth, David
author_sort de Forcrand, Philippe
collection CERN
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.
id cern-896705
institution Organización Europea para la Investigación Nuclear
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publishDate 2005
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spelling cern-8967052023-03-21T04:37:52Zdoi:10.22323/1.020.0323http://cds.cern.ch/record/896705engde Forcrand, PhilippeLucini, BiagioNoth, David't Hooft loops and perturbation theoryParticle Physics - LatticeWe 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.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.hep-lat/0510081CERN-PH-TH-2005-201oai:cds.cern.ch:8967052005-10-14
spellingShingle Particle Physics - Lattice
de Forcrand, Philippe
Lucini, Biagio
Noth, David
't Hooft loops and perturbation theory
title '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_short 't Hooft loops and perturbation theory
title_sort 't hooft loops and perturbation theory
topic Particle Physics - Lattice
url https://dx.doi.org/10.22323/1.020.0323
http://cds.cern.ch/record/896705
work_keys_str_mv AT deforcrandphilippe thooftloopsandperturbationtheory
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