Induced color charge and quark propagation at Polyakov’s loop background

Abstract

In quark­-gluon plasma, the presence of the A₀ (Polyakov loop (PL)) condensate results in the color Z(3) symmetry breaking and the Furry theorem violation. Due to these peculiarities, new phenomena ­ the induced color charges and other even-­number diagram effects ­ are realized. Using the R̄_ξ gauge, we obtain the ξ-­independent two-­loop effective potential W ( A₀^classical ) expressed in terms of the PL. Its minimum position detects the value of the condensate. We calculate the one-­loop tadpole diagram with one gluon line and the induced color charges Q_ind. Having these, we investigate the influence of the color charges on quark propagation and derive and partially investigate the contribution of them into the Schwinger­-Dyson equation for quarks. It is found that the presence of Q_ind effectively increases the strength of the A₀ potential acting on colored particles in the plasma.