  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.

High Energy Physics - Lattice