On the chromo-electric permittivity and Debye screening in hot QCD

Abstract

We study the response functions (chromo-electric susceptibilities) for an interacting quark-gluon plasma. The interaction effects have been encoded in the effective fugacities for quasi-partons which are extracted self-consistently from the two equations of state for hot QCD. The first one is the fully perturbative O(g 5 ) EOS and, the second one which is O(g 6 ln(1/g)), incorporates some non-perturbative effects.We find that response function shows large deviations from the ideal behavior. We further determine the temperature dependence of the Debye mass by fixing the effective coupling constant Q 2 which appears in the transport equation. We show that our formalism naturally yields the leading order HTL expression for the Debye mass if we employ the ideal EOS. Employing the Debye mass, we estimate the dissociation temperatures for various charmonium and bottomonium bound states. These results are consistent with the current theoretical studies. PACS

Dissociation of heavy quarkonium in hot QCD medium in a quasiparticle model

“…These fugacities should not be confused with any conservation law (number conservation) and have merely been introduced to encode all the interaction effects at high temperature QCD. Both z g and z q have a very complicated temperature dependence and asymptotically reach to the ideal value unity [48]. The temperature dependence z g and z q fits well to the form given below,…”

“…We analyze the spatial dependence of the heavy quark potential later and compare it against the other known forms of the potentials in the forthcoming sections. To that end, we employ the Debye mass computed from the effective fugacity quasi-particle model (EQPM) [47,48] and compare all the predictions with Debye mass obtained in HTL and Lattice QCD computations. Let us now proceed to discuss the EQPM and Debye mass below.…”

Viscosity and thermodynamic properties of QGP in relativistic heavy-ion collisions

“…al [19,20] have considered two EOS based on pQCD, and developed a self-consistent method to recast them in terms of non-interacting/weakly interacting quasi particles with effective fugacities. Since the method is employed here, we briefly review the work.…”

“…The implications of lattice EOS will be taken up in a subsequent paper. Our study is based on [19,20] where it has been shown how the EOS may be adapted to study the properties of QGP in heavy ion collisions. It is worth mentioning that the above mentioned works have demonstrated the viability of the EOS since they yield reasonable values for the dissociation temperatures for J/Ψ and Υ.…”

“…In Section (II), we introduce the EOS based on pQCD and review the work contained in [19,20]. We proceed to determine the the temperature dependence of thermodynamic observables(energy density and entropy density) in Section(III).…”