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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
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 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.
College: Faculty of Science and Engineering
Funders: 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).
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