Estimation of the diffusion coefficient of Heavy Quarks in light of Gribov-Zwanziger action

Abstract

The heavy quark momentum diffusion coefficient ($\kappa$) is one of the most essential ingredients for the Langevin description of heavy quark dynamics. In the temperature regime relevant to the heavy ion collision phenomenology, a substantial difference exists between the lattice estimations of $\kappa$ and the corresponding leading order (LO) result from the hard thermal loop (HTL) perturbation theory. Moreover, the indication of poor convergence in the next-to-leading order (NLO) perturbative analysis has motivated the development of several approaches to incorporate the non-perturbative effects in the heavy quark phenomenology. In this work, we estimate the heavy quark diffusion coefficient based on the Gribov-Zwanziger prescription. In this framework, the gluon propagator depends on the temperature-dependent Gribov mass parameter, which has been obtained self-consistently from the one-loop gap equation. Incorporating this modified gluon propagator in the analysis, we find a reasonable agreement with the existing lattice estimations of $\kappa$ within the model uncertainties.

9 pages, 3 figures, published version

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Cited by in corpus (10)

• Energy loss of a fast moving parton in Gribov-Zwanziger plasma
• QCD mesonic screening masses using Gribov quantization
• The complex heavy-quark potential with the Gribov-Zwanziger action
• Shear and bulk viscosity of quark-gluon plasma with Gribov gluons and quasiparticle quarks
• Heavy quark dynamics via Gribov-Zwanziger approach
• Strongly interacting matter in extreme magnetic fields
• Electromagnetic Debye mass within Gribov-Zwanziger action
• Shear and bulk viscosity for a pure glue theory using an effective matrix model
• Soft-hard factorization of heavy-quark transport in QCD matter at finite chemical potential
• Anisotropy effects on heavy quark dynamics in Gribov modified gluon plasma