A minimal quasiparticle approach for the QGP and its large-$N_c$ limits

Abstract

We propose a quasiparticle approach allowing to compute the equation of state of a generic gauge theory with gauge group SU($N_c$) and quarks in an arbitrary representation. Our formalism relies on the thermal quasiparticle masses (quarks and gluons) computed from Hard-Thermal-Loop techniques, in which the standard two-loop running coupling constant is used. Our model is minimal in the sense that we do not allow any extra ansatz concerning the temperature-dependence of the running coupling. We first show that it is able to reproduce the most recent equations of state computed on the lattice for temperatures higher than 2 $T_c$. In this range of temperatures, an ideal gas framework is indeed expected to be relevant. Then we study the accuracy of various inequivalent large-$N_c$ limits concerning the description of the QCD results, as well as the equivalence between the QCD${}_{AS}$ limit and the $\mathcal{N}=1$ SUSY Yang-Mills theory. Finally, we estimate the dissociation temperature of the ${\rm Y}$-meson and comment on the estimations' stability regarding the different considered large-$N_c$ limits.

19 pages, 6 figures

References in corpus (20)

• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD transition temperature: results with physical masses in the continuum limit II.
• The QCD Equation of State with almost Physical Quark Masses
• Equation of state and QCD transition at finite temperature
• Static quark-antiquark pairs at finite temperature
• The transition temperature in QCD
• Renormalized Polyakov loops in many representations
• QCD Thermodynamics from the Lattice
• Lattice QCD Calculation for the Physical Equation of State
• Three-dimensional physics and the pressure of hot QCD
• Three-loop HTL gluon thermodynamics at intermediate coupling
• Continuum Thermodynamics of the GluoN_c Plasma
• Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing
• QCD thermodynamics with 2+1 flavors at nonzero chemical potential
• Effective degrees of freedom and gluon condensation in the high temperature deconfined phase
• Quark-Gluon Matter
• Dynamical simulation of N=1 supersymmetric Yang-Mills theory with domain wall fermions
• Quark-Gluon Plasma - New Frontiers
• The equation of state at high temperatures from lattice QCD
• QCD equation of state in a virial expansion

Cited by in corpus (1)

• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions I - The confining phase