The non-perturbative analytical equation of state for the gluon matter. I

Abstract

The effective potential approach for composite operators has been generalized to non-zero temperatures in order to derive equation of state for the pure SU(3) Yang-Mills fields from first principles. In the absence of external sources it is nothing but the vacuum energy density. The key element of this derivation was an introduction of the temperature dependence into the expression for the Bag constant. Such obtained non-perturbative analytical equation of state for the gluon matter does not depend on the coupling constant, only the dependence on the mass gap, which is responsible for the large-scale structure of the QCD ground state, is present. The important thermodynamic quantities such as the pressure, energy and entropy densities, etc. have been calculated. We have shown explicitly that the pressure may continuously change its regime at $T_c=266.5Mev$. All other thermodynamic quantities are to be understood to have drastic changes in their regimes at this point. The proposed analytical approach makes it possible to controll thermodynamics of the gluon matter at low temperatures below $T_c$ for the first time. We automatically reproduce the so-called "fuzy"-type bag models properties because of the mass gap explicit presence in our equation of state. We have also analytically calculated the NP gluon condensate as a function of temperature.

27 pages, 10 figures, one table, many new references are added as well as some old onces omitted

References in corpus (18)

• The QCD Equation of State with almost Physical Quark Masses
• Thermodynamics of the QCD plasma and the large-N limit
• The Physics of Glueballs
• Hadron Production in Ultra-relativistic Nuclear Collisions: Quarkyonic Matter and a Triple Point in the Phase Diagram of QCD
• Thermodynamics of the PNJL model
• Effective Theory of Wilson Lines and Deconfinement
• QCD thermodynamics and confinement from a dynamical quasiparticle point of view
• Fuzzy Bags and Wilson Lines
• Three-dimensional physics and the pressure of hot QCD
• Some Thermodynamic Aspects of Pure Glue, Fuzzy Bags and Gauge/String Duality
• High-Precision Thermodynamics and Hagedorn Density of States
• Chirally symmetric but confining dense and cold matter
• Equation of state and more from lattice regularized QCD
• From AGS-SPS and Onwards to the LHC
• The hadronization line in stringy matter
• The QCD EoS from simulations on BlueGene L Supercomputers at LLNL and NYBlue
• Renormalization of the mass gap
• The color gauge invariance and a possible origin of a mass gap in QCD

Cited by in corpus (2)

• Continuum Thermodynamics of the GluoN_c Plasma
• A minimal quasiparticle approach for the QGP and its large-$N_c$ limits