The $A^2$ Asymmetry and Gluon Propagators in Lattice $SU(3)$ Gluodynamics at $T\simeq T_c$

TL;DR

This paper investigates the behavior of gluon condensates and propagators near the critical temperature in lattice $SU(3)$ gauge theory, revealing correlations with the Polyakov loop and providing insights into deconfinement phase dynamics.

Contribution

It presents a numerical study of the $A^2$ gluon condensate asymmetry and gluon propagators at $T oughly T_c$, highlighting their critical behavior and dependence on Polyakov-loop sectors.

Findings

Significant correlation between Polyakov loop and gluon asymmetry.

Determination of screening masses in different Polyakov-loop sectors.

Insights into chromoelectric and chromomagnetic interactions near $T_c$.

Abstract

We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two $A^2$ gluon condensate as well as the infrared behavior of the gluon propagators at $T\simeq T_c$ in the Landau-gauge $SU(3)$ lattice gauge theory. We find that a very significant correlation of the real part of the Polyakov loop with the asymmetry as well as with the longitudinal propagator makes it possible to determine the critical behavior of these quantities. We obtain the screening masses in different Polyakov-loop sectors and discuss the dependence of chromoelectric and chromomagnetic interactions of static color charges and currents on the choice of the Polyakov-loop sector in the deconfinement phase.