Dilepton rate and quark number susceptibility with the Gribov action

Abstract

We use a recently obtained resummed quark propagator at finite temperature which takes into account both the chromoelectric scale gT and the chromomagnetic scale g^2T through the Gribov action. The electric scale generates two massive modes whereas the magnetic scale produces a new massless spacelike mode in the medium. Moreover, the non-perturbative quark propagator is found to contain no discontinuity in contrast to the standard perturbative hard thermal loop approach. Using this non-perturbative quark propagator and self-consistent vertices, we compute the non-perturbative dilepton rate at vanishing three-momentum at one-loop order. The resulting rate has a rich structure at low energies due to the inclusion of the non-perturbative magnetic scale. We also calculate the quark number susceptibility, which is related to the conserved quark number density fluctuation in the deconfined state. Both the dilepton rate and quark number susceptibility are compared with results from lattice quantum chromodynamics and the standard hard thermal loop approach. Finally, we discuss how the absence of a discontinuity in the imaginary part of the non-perturbative quark propagator makes the results for both dilepton production and quark number susceptibility dramatically different from those in perturbative approaches and seemingly in conflict with known lattice data.

30 pages, 7 figures; v2 - version accepted for publication in PRD

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• Equation of state and QCD transition at finite temperature
• Thermal axion production in the primordial quark-gluon plasma
• NNLO hard-thermal-loop thermodynamics for QCD
• Three-loop HTL gluon thermodynamics at intermediate coupling
• Massless Mode and Positivity Violation in Hot QCD
• Equation of State of Gluon Plasma from Local Action
• Wakes in the quark-gluon plasma
• Quark number susceptibilities from resummed perturbation theory
• Color confinement and screening in the $\theta$ -vacuum
• Three-loop HTLpt thermodynamics at finite temperature and chemical potential
• Low Mass Dilepton Rate from the Deconfined Phase
• Three loop HTL perturbation theory at finite temperature and chemical potential
• Dilepton production spectrum above Tc with a lattice quark propagator

Cited by in corpus (29)

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• Bulk viscosity of a hot QCD/QGP medium in strong magnetic field within relaxation-time approximation
• Transport coefficients of the Gribov-Zwanziger plasma
• Dilepton production and elliptic flow from an anisotropic quark-gluon plasma
• Heavy quark dynamics in a hot magnetized QCD medium
• Hard dilepton production from a weakly magnetized hot QCD medium
• An introduction to Thermal Field Theory and Some of its Application
• Covariant kinetic theory and transport coefficients for Gribov plasma
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• Estimation of the diffusion coefficient of Heavy Quarks in light of Gribov-Zwanziger action
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• QCD mesonic screening masses using Gribov quantization
• The complex heavy-quark potential with the Gribov-Zwanziger action
• Mesons in strong magnetic fields: (I) General analyses
• Shear and bulk viscosity of quark-gluon plasma with Gribov gluons and quasiparticle quarks
• Strong-coupling effects in a plasma of confining gluons
• Heavy quark dynamics via Gribov-Zwanziger approach
• Thermodynamical consistency of quasiparticle model at finite baryon density
• Quantization of Yang-Mills Theories without the Gribov Ambiguity
• Electromagnetic Debye mass within Gribov-Zwanziger action
• Anisotropy effects on heavy quark dynamics in Gribov modified gluon plasma
• Collective excitations in the hot QCD medium and the propagation of Heavy Quarks
• Non-perturbative study of spectral function and its application in Quark Gluon Plasma