Journal article 12 views
Topological Data Analysis of Monopole Current Networks in U(1) Lattice Gauge Theory
Biagio Lucini 
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Xavier Crean,
Jeffrey H. Giansiracusa
,
Xavier Crean,
Jeffrey H. Giansiracusa
SciPost Physics
Swansea University Authors:
Biagio Lucini , 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...
| Published in: | SciPost Physics |
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| Published: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa67707 |
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| 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 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. |
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| College: |
Faculty of Science and Engineering |
| Funders: |
EPSRC, STFC, European Regional Development Fund (ERDF), Heilbronn Institute |