Center Phase Transition from Fundamentally Charged Matter Propagators
Mario Mitter, Markus Hopfer, Bernd-Jochen Schaefer, Reinhard Alkofer

TL;DR
This paper investigates the center phase transition in Landau gauge QCD and scalar QCD, introducing new order parameters and highlighting the importance of the matter-gluon vertex's structure in determining the transition's nature.
Contribution
It introduces novel order parameters for the center phase transition and emphasizes the critical role of the matter-gluon vertex structure in non-vanishing temperature studies.
Findings
The phase transition nature depends on the matter-gluon vertex structure.
New order parameters for the transition are proposed.
Motivates precise determination of the matter-gluon vertex at finite temperature.
Abstract
The center phase transition at non-vanishing temperatures is investigated in Landau gauge Quantum Chromodynamics (QCD) and scalar QCD. For each theory novel order parameters for the transition are introduced. The matter-gluon vertex which occurs in the Dyson-Schwinger equations of the propagators has to be modeled in contemporary studies. It is found that the nature of the phase transition depends strongly on the detailed structure of this vertex. Our investigation motivates a precise determination of the matter-gluon vertex at non-vanishing temperatures.
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