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Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology

Sale, Nicholas; Lucini, Biagio; Giansiracusa, Jeffrey

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Authors

Nicholas Sale

Biagio Lucini



Abstract

We investigate the use of persistent homology, a tool from topological data analysis, as a means to detect and quantitatively describe center vortices in SU(2) lattice gauge theory in a gaugeinvariant manner. We provide evidence for the sensitivity of our method to vortices by detecting a vortex explicitly inserted using twisted boundary conditions in the deconfined phase. This inspires the definition of a new phase indicator for the deconfinement phase transition. We also construct a phase indicator without reference to twisted boundary conditions using a simple k-nearest neighbours classifier. Finite-size scaling analyses of both persistence-based indicators yield accurate estimates of the critical β and critical exponent of correlation length ν of the deconfinement phase transition.

Citation

Sale, N., Lucini, B., & Giansiracusa, J. (2023). Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology. Physical Review D, 107(3), Article 034501. https://doi.org/10.1103/physrevd.107.034501

Journal Article Type Article
Acceptance Date Dec 20, 2022
Online Publication Date Feb 7, 2023
Publication Date Feb 1, 2023
Deposit Date Jan 13, 2023
Publicly Available Date May 15, 2023
Journal Physical Review D
Print ISSN 1550-7998
Electronic ISSN 1550-2368
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 107
Issue 3
Article Number 034501
DOI https://doi.org/10.1103/physrevd.107.034501

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Published by the American Physical Society under the terms of
the Creative Commons Attribution 4.0 International license.
Further distribution of this work must maintain attribution to
the author(s) and the published article’s title, journal citation,
and DOI.




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