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Topological Data Analysis of Monopole Current Networks in U(1) Lattice Gauge Theory

Biagio Lucini Orcid Logo, Xavier Crean, Jeffrey H. Giansiracusa Orcid Logo

SciPost Physics

Swansea University Authors: Biagio Lucini Orcid Logo, Xavier Crean

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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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 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 02fdd6e1bc74a3aee6538a718f1209ca Xavier Crean Xavier Crean true false 2024-09-17 MACS 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 0 0 0 0001-01-01 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS 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 2024-09-19T15:06:38.0112946 2024-09-17T23:35:56.9364613 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Biagio Lucini 0000-0001-8974-8266 1 Xavier Crean 2 Jeffrey H. Giansiracusa 0000-0003-4252-0058 3 274 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
Biagio Lucini
Xavier Crean
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 7e6fcfe060e07a351090e2a8aba363cf
02fdd6e1bc74a3aee6538a718f1209ca
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
02fdd6e1bc74a3aee6538a718f1209ca_***_Xavier Crean
author Biagio Lucini
Xavier Crean
author2 Biagio Lucini
Xavier Crean
Jeffrey H. Giansiracusa
format Journal article
container_title SciPost Physics
institution Swansea University
college_str Faculty of Science and Engineering
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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 Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 0
active_str 0
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 0001-01-01T15:06:37Z
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score 11.028798

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