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Center-symmetric Landau gauge meets the lattice

Duifje Maria van Egmond1, Orlando Oliveira2, Urko Reinosa3, Julien Serreau4, Paulo J. Silva2, and Matthieu Tissier5

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Phys. Rev. D 112, 014512 – Published 18 July, 2025

DOI: https://doi.org/10.1103/jcmj-jng4

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.

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Phys. Rev. D 112, 014512– Published 18 July, 2025
  • Received 20 December 2024
  • Accepted 20 May 2025
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