Center-symmetric Landau gauge meets the lattice

A lattice implementation of the recently introduced center-symmetric Landau gauge is discussed and its predictions confronted with numerical Monte Carlo simulations. It is shown that the link average and the link correlators computed in that gauge are order parameters of the confinement-deconfinement transition at nonzero temperature. Strictly speaking, this requires a specific treatment of the Gribov copies that we discuss in detail. The numerical simulations comply with the theoretical predictions for the link average computed below and above the deconfinement temperature. Our results show that, within appropriately chosen gauges, one can construct local order parameters for center symmetry, as proxies for the nonlocal Polyakov loop.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2025-05-20
DOI
https://doi.org/10.1103/jcmj-jng4
Citations
2
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
article
Field-Weighted Citation Impact
3.74

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article

Center-symmetric Landau gauge meets the lattice

Matthieu Tissier, Orlando Oliveira, Julien Serreau, Urko Reinosa et al.
2 citations
Physical review. D/Physical review. D.
Quantum Chromodynamics and Particle Interactions
3.74
article

Center-symmetric Landau gauge meets the lattice

Matthieu Tissier, Orlando Oliveira, Julien Serreau, Urko Reinosa, Paulo J. Silva, Karl J. Friston
article en
2 citations

Abstract

A lattice implementation of the recently introduced center-symmetric Landau gauge is discussed and its predictions confronted with numerical Monte Carlo simulations. It is shown that the link average and the link correlators computed in that gauge are order parameters of the confinement-deconfinement transition at nonzero temperature. Strictly speaking, this requires a specific treatment of the Gribov copies that we discuss in detail. The numerical simulations comply with the theoretical predictions for the link average computed below and above the deconfinement temperature. Our results show that, within appropriately chosen gauges, one can construct local order parameters for center symmetry, as proxies for the nonlocal Polyakov loop.

Physical review. D/Physical review. D.Vol. 112(1)
American Institute for Economic Research (US), Université Paris Cité (FR), Sorbonne Université (FR), Centre de Physique Théorique (FR), Centre de Physique Théorique (FR), ICTP South American Institute for Fundamental Research, Laboratoire Médiations (FR), University of Coimbra (PT)
Centre National de la Recherche Scientifique, Fundação para a Ciência e a Tecnologia, École Polytechnique, Université Paris-Saclay
Affordable and clean energy
Openalex Percentile: Top 8%
Quantum Chromodynamics and Particle Interactions
3.74
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