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The density of states method in Yang-Mills theories and first order phase transitions

David Mason, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo, Enrico Rinaldi, Davide Vadacchino

EPJ Web of Conferences, Volume: 274, Start page: 08007

Swansea University Authors: David Mason, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo

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DOI (Published version): 10.1051/epjconf/202227408007

Abstract

Extensions of the standard model that lead to first-order phase transitions in the early universe can produce a stochastic background of gravitational waves, which may be accessible to future detectors. Thermodynamic observables at the transition, such as the latent heat, can be determined by lattic...

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Published in: EPJ Web of Conferences
ISSN: 2100-014X
Published: EDP Sciences 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa62095
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spelling 2022-12-28T14:11:57.5278562 v2 62095 2022-11-30 The density of states method in Yang-Mills theories and first order phase transitions 341431eb263f8df9a38d8df4ae3d1cb2 David Mason David Mason true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 2022-11-30 SPH Extensions of the standard model that lead to first-order phase transitions in the early universe can produce a stochastic background of gravitational waves, which may be accessible to future detectors. Thermodynamic observables at the transition, such as the latent heat, can be determined by lattice simulations, and then used to predict the expected signatures in a given theory. In lattice calculations, the emergence of metastabilities in proximity of the phase transition may make the precise determination of these observables quite challenging, and may lead to large uncontrolled numerical errors. In this contribution, we discuss as a prototype lattice calculation the first order deconfinement transition that arises in the strong SU(3) Yang-Mills sector. We adopt the novel logarithmic linear relaxation method, which can provide a determination of the density of states of the system with exponential error suppression. Thermodynamic observables can be reconstructed with a controlled error, providing a promising direction for accurate model predictions in the future. Journal Article EPJ Web of Conferences 274 08007 EDP Sciences 2100-014X 22 12 2022 2022-12-22 10.1051/epjconf/202227408007 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University Not Required UKRI (STFC), The Leverhulme Trust, The Royal Society, European Research Council, the Simons Foundation, Nippon Telegraph and Telephone Corporation (NTT) Research ST/P006779/1, ST/P00055X/1, ST/T000813/1, European Union’s Horizon 2020 research and innovation program Grant Agreement No. 813942, WM170010, RF-2020-4619 2022-12-28T14:11:57.5278562 2022-11-30T21:36:43.1772622 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics David Mason 1 Biagio Lucini 0000-0001-8974-8266 2 Maurizio Piai 0000-0002-2251-0111 3 Enrico Rinaldi 4 Davide Vadacchino 5 62095__26129__f2168c3c7ffa4277b2c0879589f40122.pdf 62095.pdf 2022-12-28T14:08:00.8001860 Output 1874812 application/pdf Version of Record true © The Authors, published by EDP Sciences. This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 true eng http://creativecommons.org/licenses/by/4.0/
title The density of states method in Yang-Mills theories and first order phase transitions
spellingShingle The density of states method in Yang-Mills theories and first order phase transitions
David Mason
Biagio Lucini
Maurizio Piai
title_short The density of states method in Yang-Mills theories and first order phase transitions
title_full The density of states method in Yang-Mills theories and first order phase transitions
title_fullStr The density of states method in Yang-Mills theories and first order phase transitions
title_full_unstemmed The density of states method in Yang-Mills theories and first order phase transitions
title_sort The density of states method in Yang-Mills theories and first order phase transitions
author_id_str_mv 341431eb263f8df9a38d8df4ae3d1cb2
7e6fcfe060e07a351090e2a8aba363cf
3ce295f2c7cc318bac7da18f9989d8c3
author_id_fullname_str_mv 341431eb263f8df9a38d8df4ae3d1cb2_***_David Mason
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
author David Mason
Biagio Lucini
Maurizio Piai
author2 David Mason
Biagio Lucini
Maurizio Piai
Enrico Rinaldi
Davide Vadacchino
format Journal article
container_title EPJ Web of Conferences
container_volume 274
container_start_page 08007
publishDate 2022
institution Swansea University
issn 2100-014X
doi_str_mv 10.1051/epjconf/202227408007
publisher EDP Sciences
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
document_store_str 1
active_str 0
description Extensions of the standard model that lead to first-order phase transitions in the early universe can produce a stochastic background of gravitational waves, which may be accessible to future detectors. Thermodynamic observables at the transition, such as the latent heat, can be determined by lattice simulations, and then used to predict the expected signatures in a given theory. In lattice calculations, the emergence of metastabilities in proximity of the phase transition may make the precise determination of these observables quite challenging, and may lead to large uncontrolled numerical errors. In this contribution, we discuss as a prototype lattice calculation the first order deconfinement transition that arises in the strong SU(3) Yang-Mills sector. We adopt the novel logarithmic linear relaxation method, which can provide a determination of the density of states of the system with exponential error suppression. Thermodynamic observables can be reconstructed with a controlled error, providing a promising direction for accurate model predictions in the future.
published_date 2022-12-22T04:21:27Z
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