2016/01/07 by Paulo J. Silva, P. J. Silva, Orlando Oliveira +1
Physics and Astronomy · #Approx #Center (category theory) #Deconfinement #Gauge theory #Gluon #High-Energy Particle Collisions Research #Lattice (music) #Mathematical physics #Particle physics theoretical and experimental studies #Phase transition #Physics #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #hep-lat
paper · pdf · doi:10.1103/physrevd.93.114509
published as Phys. Rev. D 93, 114509 (2016) · 17 pages, 12 figures
arxiv created 2016/01/07 · openalex publication_date 2016/06/16 · arxiv updated 2016/06/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The correlations between the modulus of the Polyakov loop, its phase \ensuremathθ, and the Landau gauge gluon propagator at finite temperature are investigated in connection with the center symmetry for pure Yang-Mills SU(3) theory. In the deconfined phase, where the center symmetry is spontaneously broken, the phase of the Polyakov loop per configuration is close to \ensuremathθ=0, \ifmmode±\else\textpm\fi2\ensuremathπ/3. We find that the gluon propagator form factors associated with \ensuremathθ\ensuremath≈0 differ quantitatively and qualitatively from those associated to \ensuremathθ\ensuremath≈\ifmmode±\else\textpm\fi2\ensuremathπ/3. This difference between the form factors is a property of the deconfined phase and a sign of the spontaneous breaking of the center symmetry. Furthermore, given that this difference vanishes in the confined phase, it can be used as an order parameter associated to the deconfinement transition. For simulations near the critical temperature Tc, the difference between the propagators associated to \ensuremathθ\ensuremath≈0 and \ensuremathθ\ensuremath≈\ifmmode±\else\textpm\fi2\ensuremathπ/3 allows one to classify the configurations as belonging to the confined or deconfined phase. This establishes a selection procedure which has a measurable impact on the gluon form factors. Our results also show that the absence of the selection procedure can be erroneously interpreted as lattice artifacts.