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Glueballs and statistical mechanics of the gluon plasma

par Brau, Fabian ;Buisseret, F.
Référence Physical Review D - Particles, Fields, Gravitation and Cosmology, 79, 11, 114007
Publication Publié, 2009

Article révisé par les pairs

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Résumé :

We study a pure gluon plasma in the context of quasiparticle models, where the plasma is considered as an ideal gas of massive bosons. In order to reproduce SU(3) gauge field lattice data within such a framework, we review briefly the necessity to use a temperature-dependent gluon mass which accounts for color interactions between the gluons near Tc and agrees with perturbative QCD at large temperatures. Consequently, we discuss the thermodynamics of systems with temperature-dependent Hamiltonians and clarify the situation about the possible solutions proposed in the literature to treat those systems consistently. We then focus our attention on two possible formulations which are thermodynamically consistent, and we extract the gluon mass from the equation of state obtained in SU(3) lattice QCD. We find that the thermal gluon mass is similar in both statistical formalisms. Finally, an interpretation of the gluon plasma as an ideal gas made of glueballs and gluons is also presented. The glueball mass is consistently computed within a relativistic formalism using a potential obtained from lattice QCD. We find that the gluon plasma might be a glueball-rich medium for T 1.13Tc and suggest that glueballs could be detected in future experiments dedicated to quark-gluon plasma. © 2009 The American Physical Society.