On the chromoelectric 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.

9 pages, 8 figures, v2:minor typo corrected, improved version of arXiv:0801.1286[Section I-IV included and modified]; To appear in Euro. Physical J. A

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• Quasi-particle model for lattice QCD: quark-gluon plasma in heavy ion collisions
• Collective excitations of hot QCD medium in a quasi-particle description
• Collective excitations of a hot anisotropic QCD medium with Bhatnagar-Gross-Krook collisional kernel within an effective description
• On the bulk viscosity of anisotropically expanding hot QCD plasma
• Transport properties of anisotropically expanding quark-gluon plasma within a quasi-particle model
• Quarkonia in anisotropic hot QCD medium in a quasi-particle model
• Heavy quark potential and LQCD based quark condensate at finite magnetic field
• Viscous modifications to quark and gluon distribution functions in quark-gluon plasma medium
• Thermodynamic Geometric Stability of Quarkonia states
• Study of Quarkonium properties using SUSYQM method with baryonic chemical potential
• Quarkonia dissociation at finite magnetic field in the presence of momentum anisotropy
• Baryon Number Fluctuations in Quasi-particle Model
• Relativistic second order dissipative hydrodynamics from effective fugacity quasi particle model
• Screening properties of quark-gluon plasma obtained from distribution and correlation functions of the constituent quasiparticle model