The $\big\langle A^2 \big\rangle$ Asymmetry and Longitudinal Propagator in Lattice $SU(2)$ Gluodynamics at $T\simeq T_c$

TL;DR

This paper investigates the behavior of gluon condensate asymmetry and the longitudinal gluon propagator near the critical temperature in lattice SU(2) gauge theory, revealing correlations with the Polyakov loop and critical phenomena.

Contribution

It provides the first numerical analysis of the critical behavior of gluon condensate asymmetry and longitudinal propagator at the deconfinement transition in SU(2) lattice gauge theory.

Findings

Strong correlation between asymmetry and Polyakov loop.

Correlation between longitudinal propagator and Polyakov loop.

Critical exponents and amplitudes are evaluated.

Abstract

We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two gluon condensate as well as the longitudinal gluon propagator at $T\simeq T_c$ in the Landau-gauge $SU(2)$ lattice gauge theory. We show that substantial correlation between the asymmetry and the Polyakov loop as well as the correlation between the longitudinal propagator and the Polyakov loop pave the way to studies of the critical behavior of the asymmetry and the longitudinal propagator. The respective values of critical exponents and amplitudes are evaluated.