Correlations and Critical Behavior in Lattice Gluodynamics

TL;DR

This paper investigates the critical behavior of gluonic quantities in lattice gluodynamics, revealing correlations between the Polyakov loop and gluon condensates, and discusses methods to reduce finite-volume effects.

Contribution

It introduces a novel correlation-based approach to determine critical behavior in lattice gluodynamics and analyzes temperature effects across Polyakov-loop sectors.

Findings

Correlation of Polyakov loop with gluon condensates signals critical behavior

Finite-volume corrections can be mitigated using regression analysis

Temperature dependence varies across Polyakov-loop sectors

Abstract

In the Landau-gauge lattice gluodynamics we find that, both in the SU(2) and SU(3) theory, a correlation of the Polyakov loop with the asymmetry of the $A^2$ gluon condensate as well as with the longitudinal propagator makes it possible to determine the critical behavior of these quantities. We discuss finite-volume corrections and reveal that they can be reduced by the use of regression analysis. We also analyze the temperature dependence of low-momenta propagators in different Polyakov-loop sectors.