The 〈A2〉 asymmetry and longitudinal propagator in lattice SU(2) gluodynamics at T ≃ Tc

Abstract

We study numerically the chromoelectric–chromomagnetic asymmetry of the dimension two gluon condensate and the longitudinal gluon propagator at [Formula: see text] in the Landau-gauge [Formula: see text] 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.