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Description
The lattice gluon propagator at finite temperature is computed in the recently introduced center-symmetric Landau gauge in pure Yang-Mills theory. Recent works in the continuum, e.g. [1] show that the gluon propagator is degenerate along the diagonal color directions in the confining phase, and becomes nondegenerate in the deconfined phase. This result allows to use the gluon propagator to define order parameters for the deconfinement phase transition, alongside the well-known Polyakov loop. After discussing a proper lattice implementation of the center-symmetric Landau gauge [2], lattice data for the gluon propagator is shown and compared with continuum studies predictions. Other signatures of the breaking of the center symmetry are also investigated.
[1] D. M. van Egmond, U. Reinosa, Phys. Rev. D106 (2022) 074005 [arXiv:2206.03841 [hep-ph]].
[2] D. M. van Egmond, O. Oliveira, Urko Reinosa, Julien Serreau, Paulo J. Silva, Matthieu Tissier, Phys.Rev.D 112 (2025) 1, 014512 [arXiv:2412.07930 [hep-lat]].