Correlations and Critical Behavior in Lattice Gluodynamics

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.

Comments: 9 pages, 6 figures; talk given at the international online conference "Quark Confinement and the Hadron Spectrum", August 2nd-6th 2021, hosted by University of Stavanger, Norway