Abstract
Polyakov loops [Formula: see text], [Formula: see text] are shown to give the most important non-perturbative (np) contribution to the thermodynamic potentials. Derived from the gluonic field correlators (FCs), they enter as factors into free energy. It is shown in the SU(3) case that [Formula: see text] define to a large extent the behavior of the free energy and the trace anomaly [Formula: see text], most sensitive to np effects.
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