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Updates on the density of states method in finite temperature symplectic gauge theories

David Mason, Ed Bennett Orcid Logo, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo, Enrico Rinaldi, Davide Vadacchino, Fabian Zierler

Proceedings of The 41st International Symposium on Lattice Field Theory — PoS(LATTICE2024), Volume: 466, Start page: 147

Swansea University Authors: David Mason, Ed Bennett Orcid Logo, Biagio Lucini Orcid Logo, Maurizio Piai Orcid Logo, Fabian Zierler

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DOI (Published version): 10.22323/1.466.0147

Abstract

First-order phase transitions in the early universe have rich phenomenological implications, such as the production of a potentially detectable signal of stochastic relic background gravitational waves. The hypothesis that new, strongly coupled dynamics, hiding in a new dark sector, could be detecte...

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Published in: Proceedings of The 41st International Symposium on Lattice Field Theory — PoS(LATTICE2024)
ISSN: 1824-8039
Published: Trieste, Italy Sissa Medialab 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa68334
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The hypothesis that new, strongly coupled dynamics, hiding in a new dark sector, could be detected in this way, via the telltale signs of its confinement/deconfinement phase transition, provides a fascinating opportunity for interdisciplinary synergy between lattice field theory and astro-particle physics. But its viability relies on completing the challenging task of providing accurate theoretical predictions for the parameters characterising the strongly coupled theory. Density of states methods, and in particular the linear logarithmic relaxation (LLR) method, can be used to address the intrinsic numerical difficulties that arise due the meta-stable dynamics in the vicinity of the critical point. For example, it allows one to obtain accurate determinations of thermodynamic observables that are otherwise inaccessible, such as the free energy. In this contribution, we present an update on results of the analysis of the finite temperature deconfinement phase transition in a pure gauge theory with a symplectic gauge group, (4), by using the LLR method. 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B. has been funded by the UKRI Science and Technologies Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1, by the STFC under Consolidated Grant No. ST/X000648/1, and by the ExaTEPP project EP/X017168/1. The work of D. V. is supported by STFC under Consolidated Grant No. ST/X000680/1. F. Z. is supported by the STFC ConsolidatedGrantNo.ST/X000648/1. TheworkofD.M.issupportedbyastudentshipawardedby the Data Intensive Centre for Doctoral Training, which is funded by the STFC grant ST/P006779/1. B. L. and M. P. received funding from the European Research Council (ERC) under the European Union&#x2019;s Horizon 2020 research and innovation program under Grant Agreement No. 813942, and by STFC under Consolidated Grants No. ST/P00055X/1, ST/T000813/1, and ST/X000648/1. The work of B. L. is further supported in part by the Royal Society Wolfson Research Merit Award WM170010 and by the Leverhulme Trust Research Fellowship No. RF-2020-4619. Numerical simulations have been performed on the Swansea SUNBIRD cluster (part of the Supercomputing Wales project) and AccelerateAI A100 GPU system.The Swansea SUNBIRD system and AccelerateAI are part funded by the European Regional Development Fund (ERDF) via Welsh Government. Numerical simulations have been performed on the DiRAC Data Intensive service at Leicester. The DiRAC Data Intensive service equipment at Leicester was funded by BEIScapital funding via STFC capital grants ST/K000373/1 and ST/R002363/1 and STFC DiRAC Operations grant ST/R001014/1. Numerical simulations have used the DiRAC Extreme Scaling service at the University of Edinburgh. The DiRACDataIntensiveserviceatLeicester wasoperated by the University of Leicester IT Services, and the DiRAC Extreme Scaling service is operated by the Edinburgh Parallel Computing Centre, they form part of the STFC DiRAC HPC Facility (www.dirac.ac.uk). This work used the DiRAC Data Intensive service (CSD3) at the University of Cambridge, managed by the University of Cambridge University Information Services on behalf of the STFCDiRACHPCFacility(www.dirac.ac.uk). The DiRAC component of CSD3atCambridge wass funded by BEIS, UKRIandSTFCcapitalfundingandSTFCoperations grants. DiRAC is part of the UKRI Digital Research Infrastructure. ST/R00238X/1The DiRAC Extreme Scaling service was funded by BEIS capital funding via STFC capital grant ST/R00238X/1 and STFC DiRAC Operations grant ST/R001006/1. DiRAC is part of the National e-Infrastructure. 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spelling 2025-02-07T13:58:00.9196550 v2 68334 2024-11-25 Updates on the density of states method in finite temperature symplectic gauge theories 341431eb263f8df9a38d8df4ae3d1cb2 David Mason David Mason true false e1a8e7927d2b093acdc54e74eac95e38 0000-0002-1678-6701 Ed Bennett Ed Bennett true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 7eb526fdce1693fc0b79f33e74cc182d Fabian Zierler Fabian Zierler true false 2024-11-25 BGPS First-order phase transitions in the early universe have rich phenomenological implications, such as the production of a potentially detectable signal of stochastic relic background gravitational waves. The hypothesis that new, strongly coupled dynamics, hiding in a new dark sector, could be detected in this way, via the telltale signs of its confinement/deconfinement phase transition, provides a fascinating opportunity for interdisciplinary synergy between lattice field theory and astro-particle physics. But its viability relies on completing the challenging task of providing accurate theoretical predictions for the parameters characterising the strongly coupled theory. Density of states methods, and in particular the linear logarithmic relaxation (LLR) method, can be used to address the intrinsic numerical difficulties that arise due the meta-stable dynamics in the vicinity of the critical point. For example, it allows one to obtain accurate determinations of thermodynamic observables that are otherwise inaccessible, such as the free energy. In this contribution, we present an update on results of the analysis of the finite temperature deconfinement phase transition in a pure gauge theory with a symplectic gauge group, (4), by using the LLR method. We present a first analysis of the properties of the transition in the thermodynamic limit, and provide a road map for future work, including a brief preliminary discussion that will inform future publications. Conference Paper/Proceeding/Abstract Proceedings of The 41st International Symposium on Lattice Field Theory — PoS(LATTICE2024) 466 147 Sissa Medialab Trieste, Italy 1824-8039 5 12 2024 2024-12-05 10.22323/1.466.0147 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Not Required The work of E. B. has been funded by the UKRI Science and Technologies Facilities Council (STFC) Research Software Engineering Fellowship EP/V052489/1, by the STFC under Consolidated Grant No. ST/X000648/1, and by the ExaTEPP project EP/X017168/1. The work of D. V. is supported by STFC under Consolidated Grant No. ST/X000680/1. F. Z. is supported by the STFC ConsolidatedGrantNo.ST/X000648/1. TheworkofD.M.issupportedbyastudentshipawardedby the Data Intensive Centre for Doctoral Training, which is funded by the STFC grant ST/P006779/1. B. L. and M. P. received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 813942, and by STFC under Consolidated Grants No. ST/P00055X/1, ST/T000813/1, and ST/X000648/1. The work of B. L. is further supported in part by the Royal Society Wolfson Research Merit Award WM170010 and by the Leverhulme Trust Research Fellowship No. RF-2020-4619. Numerical simulations have been performed on the Swansea SUNBIRD cluster (part of the Supercomputing Wales project) and AccelerateAI A100 GPU system.The Swansea SUNBIRD system and AccelerateAI are part funded by the European Regional Development Fund (ERDF) via Welsh Government. Numerical simulations have been performed on the DiRAC Data Intensive service at Leicester. The DiRAC Data Intensive service equipment at Leicester was funded by BEIScapital funding via STFC capital grants ST/K000373/1 and ST/R002363/1 and STFC DiRAC Operations grant ST/R001014/1. Numerical simulations have used the DiRAC Extreme Scaling service at the University of Edinburgh. The DiRACDataIntensiveserviceatLeicester wasoperated by the University of Leicester IT Services, and the DiRAC Extreme Scaling service is operated by the Edinburgh Parallel Computing Centre, they form part of the STFC DiRAC HPC Facility (www.dirac.ac.uk). This work used the DiRAC Data Intensive service (CSD3) at the University of Cambridge, managed by the University of Cambridge University Information Services on behalf of the STFCDiRACHPCFacility(www.dirac.ac.uk). The DiRAC component of CSD3atCambridge wass funded by BEIS, UKRIandSTFCcapitalfundingandSTFCoperations grants. DiRAC is part of the UKRI Digital Research Infrastructure. ST/R00238X/1The DiRAC Extreme Scaling service was funded by BEIS capital funding via STFC capital grant ST/R00238X/1 and STFC DiRAC Operations grant ST/R001006/1. DiRAC is part of the National e-Infrastructure. This work was supported by the Supercomputer Fugaku Start-up Utilization Program of RIKEN.Thisworkusedcomputationalresources of the supercomputer Fugaku provided by RIKEN through the HPCI System Research Project (Project ID: hp230397). 2025-02-07T13:58:00.9196550 2024-11-25T12:05:15.2703659 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics David Mason 1 Ed Bennett 0000-0002-1678-6701 2 Biagio Lucini 0000-0001-8974-8266 3 Maurizio Piai 0000-0002-2251-0111 4 Enrico Rinaldi 5 Davide Vadacchino 6 Fabian Zierler 7 68334__33104__8cb8d72bd9e94ff587d961a14df36f63.pdf 68334.VoR.pdf 2024-12-10T15:25:32.4439186 Output 2123885 application/pdf Version of Record true © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). true eng https://creativecommons.org/licenses/by-nc-nd/4.0/deed.en 289 Ed Bennett 0000-0002-1678-6701 E.J.Bennett@Swansea.ac.uk true 10.5281/zenodo.13807598 false
title Updates on the density of states method in finite temperature symplectic gauge theories
spellingShingle Updates on the density of states method in finite temperature symplectic gauge theories
David Mason
Ed Bennett
Biagio Lucini
Maurizio Piai
Fabian Zierler
title_short Updates on the density of states method in finite temperature symplectic gauge theories
title_full Updates on the density of states method in finite temperature symplectic gauge theories
title_fullStr Updates on the density of states method in finite temperature symplectic gauge theories
title_full_unstemmed Updates on the density of states method in finite temperature symplectic gauge theories
title_sort Updates on the density of states method in finite temperature symplectic gauge theories
author_id_str_mv 341431eb263f8df9a38d8df4ae3d1cb2
e1a8e7927d2b093acdc54e74eac95e38
7e6fcfe060e07a351090e2a8aba363cf
3ce295f2c7cc318bac7da18f9989d8c3
7eb526fdce1693fc0b79f33e74cc182d
author_id_fullname_str_mv 341431eb263f8df9a38d8df4ae3d1cb2_***_David Mason
e1a8e7927d2b093acdc54e74eac95e38_***_Ed Bennett
7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
7eb526fdce1693fc0b79f33e74cc182d_***_Fabian Zierler
author David Mason
Ed Bennett
Biagio Lucini
Maurizio Piai
Fabian Zierler
author2 David Mason
Ed Bennett
Biagio Lucini
Maurizio Piai
Enrico Rinaldi
Davide Vadacchino
Fabian Zierler
format Conference Paper/Proceeding/Abstract
container_title Proceedings of The 41st International Symposium on Lattice Field Theory — PoS(LATTICE2024)
container_volume 466
container_start_page 147
publishDate 2024
institution Swansea University
issn 1824-8039
doi_str_mv 10.22323/1.466.0147
publisher Sissa Medialab
college_str Faculty of Science and Engineering
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hierarchy_parent_id facultyofscienceandengineering
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department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
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description First-order phase transitions in the early universe have rich phenomenological implications, such as the production of a potentially detectable signal of stochastic relic background gravitational waves. The hypothesis that new, strongly coupled dynamics, hiding in a new dark sector, could be detected in this way, via the telltale signs of its confinement/deconfinement phase transition, provides a fascinating opportunity for interdisciplinary synergy between lattice field theory and astro-particle physics. But its viability relies on completing the challenging task of providing accurate theoretical predictions for the parameters characterising the strongly coupled theory. Density of states methods, and in particular the linear logarithmic relaxation (LLR) method, can be used to address the intrinsic numerical difficulties that arise due the meta-stable dynamics in the vicinity of the critical point. For example, it allows one to obtain accurate determinations of thermodynamic observables that are otherwise inaccessible, such as the free energy. In this contribution, we present an update on results of the analysis of the finite temperature deconfinement phase transition in a pure gauge theory with a symplectic gauge group, (4), by using the LLR method. We present a first analysis of the properties of the transition in the thermodynamic limit, and provide a road map for future work, including a brief preliminary discussion that will inform future publications.
published_date 2024-12-05T08:17:39Z
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