  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.
