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

Crean, Xavier; Giansiracusa, Jeffrey; Lucini, Biagio

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 groups of monopole current networks may be used to quantitatively and robustly locate the critical inverse coupling β c 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.

Citation

Crean, X., Giansiracusa, J., & Lucini, B. (2024). Topological Data Analysis of Monopole Current Networks in U(1) Lattice Gauge Theory. SciPost Physics, 17(4), Article 100. https://doi.org/10.21468/SciPostPhys.17.4.100

• Journal Article Type: Article
• Acceptance Date: Sep 13, 2024
• Online Publication Date: Oct 2, 2024
• Publication Date: 2024-10
• Deposit Date: Sep 18, 2024
• Publicly Available Date: Jan 9, 2025
• Journal: SciPost Physics
• Print ISSN: 2542-4653
• Electronic ISSN: 2542-4653
• Publisher: SciPost
• Peer Reviewed: Peer Reviewed
• Volume: 17
• Issue: 4
• Article Number: 100
• DOI: https://doi.org/10.21468/SciPostPhys.17.4.100
• Public URL: https://durham-repository.worktribe.com/output/2867320