Glueballs and statistical mechanics of the gluon plasma

Abstract

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 $T_{\text{c}}$ 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 consistently those systems. We then focus our attention to 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 $T\lesssim 1.13T_{\text{c}}$ and suggest that glueballs could be detected in future experiments dedicated to the quark-gluon plasma.

minor corrections. Accepted for publication in PRD

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• Introductory lectures to large-N QCD phenomenology and lattice results
• Polyakov Loop and Gluon Quasiparticles in Yang-Mills Thermodynamics
• Trace Anomaly, Thermal Power Corrections and Dimension Two condensates in the deconfined phase
• Trace Anomaly and Quasi-Particles in Finite Temperature SU(N) Gauge Theory
• Deep-learning quasi-particle masses from QCD equation of state
• Glueball phenomenology and the relativistic flux tube model
• Analytical study of a gas of gluonic quasiparticles at high temperature: effective mass, pressure and trace anomaly
• Modified Bag Models for the Quark Gluon Plasma Equation of State
• Comments on Yang-Mills thermodynamics, the Hagedorn spectrum and the gluon gas
• Glueballs and the Yang-Mills plasma in a $T$-matrix approach
• Asymptotically Free Theory with Scale Invariant Thermodynamics
• Thermodynamics of the Quark-Gluon Plasma in Terms of Quasiparticles and Polyakov Line Condensates
• Thermodynamic inconsistency in quasiparticle model - a revisit
• Crossover to Cluster Plasma in the Gas of Quark-Gluon Bags
• A non-abelian quasi-particle model for gluon plasma
• Thermodynamics of (2+1) flavor QGP in quasiparticle model
• Landau's statistical mechanics for quasiparticle models
• Effective model for pure Yang-Mills theory on ${\mathbb{T}}^2\times {\mathbb{R}}^2$ with Polyakov loops