Studies of Correlations in the Critical Domain of the $SU(2)$ Gluodynamics

TL;DR

This paper investigates how correlations between the Polyakov loop and gluon propagators in $SU(2)$ gluodynamics can improve finite-volume and temperature extrapolations near the critical point.

Contribution

It numerically demonstrates that strong correlations can be utilized to reduce finite-volume effects and facilitate temperature extrapolations in the critical domain.

Findings

Correlations significantly reduce finite-volume effects.

Correlations enable better temperature extrapolation.

Numerical validation in $SU(2)$ gluodynamics.

Abstract

By considering the example of $SU(2)$ gluodynamics, we check numerically the idea that the strong correlation of the Polyakov loop with the longitudinal gluon propagator and related quantities can be used to substantially reduce the finite-volume effects as well as to extrapolate in temperature over the critical domain.