Polyakov loop and gluon quasiparticles in Yang-Mills thermodynamics

Abstract

We study the interpretation of lattice data about the thermodynamics of the deconfinement phase of $SU(3)$ Yang-Mills theory, in terms of gluon quasiparticles propagating in a background of a Polyakov loop. A potential for the Polyakov loop, inspired by the strong coupling expansion of the QCD action, is introduced; the Polyakov loop is coupled to transverse gluon quasiparticles by means of a gaslike effective potential. This study is useful to identify the effective degrees of freedom propagating in the gluon medium above the critical temperature. A main general finding is that a dominant part of the phase transition dynamics is accounted for by the Polyakov loop dynamics; hence, the thermodynamics can be described without the need for diverging or exponentially increasing quasiparticle masses as $T\ensuremath{\rightarrow}{T}_{c}$, at variance respect to standard quasiparticle models.