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Probing center vortices and deconfinement in SU(2) lattice gauge theory with persistent homology
Physical Review D, Volume: 107
Swansea University Authors: NICHOLAS SALE, Biagio Lucini , Jeffrey Giansiracusa
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DOI (Published version): 10.1103/PhysRevD.107.034501
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 gauge-invariant manner. The sensitivity of our method to vortices in the deconfined phase is confirmed by using tw...
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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 gauge-invariant manner. The sensitivity of our method to vortices in the deconfined phase is confirmed by using twisted boundary conditions which 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.
Faculty of Science and Engineering
N. S. has been supported by
a Swansea University Research Excellence Scholarship
(SURES). J. G. was supported by Engineering and Physical
Sciences Research Council Grant No. EP/R018472/1. B. L.
received funding from the European Research Council
(ERC) under the European Union’s Horizon 2020 research
and innovation program under Grant Agreement
No. 813942. The work of B. L. was further supported in
part by the UKRI Science and Technology Facilities
Council (STFC) Consolidated Grant No. ST/T000813/1,
by the Royal Society Wolfson Research Merit Grant
No. WM170010, and by the Leverhulme Foundation
Research Fellowship No. RF-2020-461\9.