Topological data analysis of monopole current networks in U(1) lattice gauge theory

Crean, Xavier; Giansiracusa, Jeffrey; Lucini, Biagio

doi:10.21468/scipostphys.17.4.100

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Topological data analysis of monopole current networks in U(1) lattice gauge theory

Xavier Crean

, Jeffrey Giansiracusa

, Biagio Lucini

SciPost Physics, Volume: 17, Issue: 4

Swansea University Authors: Xavier Crean , Jeffrey Giansiracusa , Biagio Lucini

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DOI (Published version): 10.21468/scipostphys.17.4.100

Abstract

In 4-dimensional pure compact U(1) lattice gauge theory, we analyse topological aspects of the dynamics of monopoles across the deconfinement phase transition. We do this using tools from Topological Data Analysis (TDA). We demonstrate that observables constructed from the zeroth and first homology...

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Published in:	SciPost Physics
ISSN:	2542-4653
Published:	Stichting SciPost 2024
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URI:	https://cronfa.swan.ac.uk/Record/cronfa67707
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spelling	v2 67707 2024-09-17 Topological data analysis of monopole current networks in U(1) lattice gauge theory 02fdd6e1bc74a3aee6538a718f1209ca 0009-0007-8620-6243 Xavier Crean Xavier Crean true false 03c4f93e1b94af60eb0c18c892b0c1d9 0000-0003-4252-0058 Jeffrey Giansiracusa Jeffrey Giansiracusa true false 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2024-09-17 In 4-dimensional pure compact U(1) lattice gauge theory, we analyse topological aspects of the dynamics of monopoles across the deconfinement phase transition. We do this using tools from Topological Data Analysis (TDA). We demonstrate that observables constructed from the zeroth and first homology groups of monopole current networks may be used to quantitatively and robustly locate the critical inverse coupling βc through finite-size scaling. Our method provides a mathematically robust framework for the characterisation of topological invariants related to monopole currents, putting on firmer ground earlier investigations. Moreover, our approach can be generalised to the study of Abelian monopoles in non-Abelian gauge theories. Journal Article SciPost Physics 17 4 Stichting SciPost 2542-4653 2 10 2024 2024-10-02 10.21468/scipostphys.17.4.100 COLLEGE NANME COLLEGE CODE Swansea University External research funder(s) paid the OA fee (includes OA grants disbursed by the Library) EPSRC, STFC, European Regional Development Fund (ERDF), Heilbronn Institute (EP/V521917/1, EP/R018472/1, EP/X017168/1, ST/T000813/1, ST/X000648/1) 2024-10-24T11:16:17.9444354 2024-09-17T23:35:56.9364613 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Xavier Crean 0009-0007-8620-6243 1 Jeffrey Giansiracusa 0000-0003-4252-0058 2 Biagio Lucini 0000-0001-8974-8266 3 67707__32691__bfc529483c124946973de7f80a3e7c07.pdf 67707.VoR.pdf 2024-10-24T11:13:30.6068443 Output 425810 application/pdf Version of Record true Copyright: X. Crean et al. This work is licensed under the Creative Commons Attribution 4.0 International License. true eng http://creativecommons.org/licenses/by/4.0/ 274 Xavier Crean 2237451@swansea.ac.uk true https://zenodo.org/records/10806046 false
title	Topological data analysis of monopole current networks in U(1) lattice gauge theory
spellingShingle	Topological data analysis of monopole current networks in U(1) lattice gauge theory Xavier Crean Jeffrey Giansiracusa Biagio Lucini
title_short	Topological data analysis of monopole current networks in U(1) lattice gauge theory
title_full	Topological data analysis of monopole current networks in U(1) lattice gauge theory
title_fullStr	Topological data analysis of monopole current networks in U(1) lattice gauge theory
title_full_unstemmed	Topological data analysis of monopole current networks in U(1) lattice gauge theory
title_sort	Topological data analysis of monopole current networks in U(1) lattice gauge theory
author_id_str_mv	02fdd6e1bc74a3aee6538a718f1209ca 03c4f93e1b94af60eb0c18c892b0c1d9 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv	02fdd6e1bc74a3aee6538a718f1209ca_*_Xavier Crean 03c4f93e1b94af60eb0c18c892b0c1d9__Jeffrey Giansiracusa 7e6fcfe060e07a351090e2a8aba363cf_**_Biagio Lucini
author	Xavier Crean Jeffrey Giansiracusa Biagio Lucini
author2	Xavier Crean Jeffrey Giansiracusa Biagio Lucini
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container_title	SciPost Physics
container_volume	17
container_issue	4
publishDate	2024
institution	Swansea University
issn	2542-4653
doi_str_mv	10.21468/scipostphys.17.4.100
publisher	Stichting SciPost
college_str	Faculty of Science and Engineering
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department_str	School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
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description	In 4-dimensional pure compact U(1) lattice gauge theory, we analyse topological aspects of the dynamics of monopoles across the deconfinement phase transition. We do this using tools from Topological Data Analysis (TDA). We demonstrate that observables constructed from the zeroth and first homology groups of monopole current networks may be used to quantitatively and robustly locate the critical inverse coupling βc through finite-size scaling. Our method provides a mathematically robust framework for the characterisation of topological invariants related to monopole currents, putting on firmer ground earlier investigations. Moreover, our approach can be generalised to the study of Abelian monopoles in non-Abelian gauge theories.
published_date	2024-10-02T11:16:16Z
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Topological data analysis of monopole current networks in U(1) lattice gauge theory

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