Dynamical role of Polyakov loops in the QCD thermodynamics

Abstract

Polyakov loops $L_a(T), a=3,8,...$ are shown to give the most important nonperturbative contribution to the thermodynamic potentials. Derived from the gluonic field correlators they enter as factors into free energy. It is shown in the $SU(3)$ case that $L_a (T)$ define to a large extent the behavior of the free energy and the trace anomaly $I(T)$, most sensitive to nonperturbative effects.Comment: 8 pages, 2 figures; v2: minor corrections, style changed and references adde

Colormagnetic confinement in the quark–gluon thermodynamics

“…Separating, as in [19,20] the constant term V 1 (∞, T ), one obtains in (8), (10) a factorization of the space 3d, where D H is acting, and the temporal direction, which yields [15,19,20] …”

“…One can see in (14), that for T < ∼ M glp = 1.5 GeV, (the gluelump mass) and n < n * = and one has the following form for gluon pressure [19] …”

“…the point u on the same loop. There are two ways, how the CM confinement can be taken into account, suggested in [19]. Considering the oscillator interaction between the charges, one obtains…”

“…In [19,20] the CM confinement was taken into account together with exact treatment of Polyakov lines in the SU(3) theory. The resulting pressure P (T ) and entropy s(T ) are in good agreement with lattice data [11].…”

“…It is a purpose of the present paper to apply the same method, as in [19,20], to the analysis of the QCD matter with n f > 0 at T ≥ T c , taking into account accurate values of Polyakov lines and the CM confinement.…”