Two-point functions for SU(3) Polyakov Loops near Tc
Adrian Dumitru, Robert D. Pisarski
Abstract
We discuss the behavior of two point functions for Polyakov loops in a SU(3) gauge theory about the critical temperature, Tc. From a Z(3) model, in mean field theory we obtain a prediction for the ratio of masses at Tc, extracted from correlation functions for the imaginary and real parts of the Polyakov loop. This ratio is mi/mr = 3 if the potential only includes terms up to quartic order in the Polyakov loop; its value changes as pentic and hexatic interactions become important. The Polyakov Loop Model then predicts how mi/mr changes above Tc.
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