Longitudinal conductivity of hot magnetized collisional QCD medium in the inhomogeneous electric field

Abstract

The longitudinal current density induced by the inhomogeneous electric field in the hot magnetized quark-gluon plasma has been investigated and utilized in obtaining the conductivity of the medium. The analysis has been done in the regime where inhomogeneity of the field is small so that the collision effect could be significant. The modeling of the QCD medium is based on a quasiparticle description where the medium effects have been encoded in the effective quarks, antiquarks and gluons. The temperature dependence of the linear longitudinal current density (in terms of the electric field) and the additional components of current density due to the inhomogeneity of electric field (in terms of its derivatives) have been obtained by solving the $(1+1)-$dimensional effective covariant kinetic theory with a proper collision term. The conductivity has been obtained from the current density in the presence of the inhomogeneous field. The collisional aspects of the medium have been captured by including both thermal relaxation approximation and the Bhatnagar-Gross-Krook collision kernels in the analysis. Further, the hot QCD medium effects and higher Landau level contributions to the current density and the conductivity have been investigated. It has been seen that the effects of inhomogeneity of the field and the mean field corrections to the current density and the conductivity are more visible in the temperature regions which are not far from the transition temperature.

12 pages, 4 figures, two column

References in corpus (19)

• The Chiral Magnetic Effect
• The QCD Equation of State with almost Physical Quark Masses
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• The chiral magnetic effect in hydrodynamical approach
• Notes on chiral hydrodynamics within effective theory approach
• Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
• Electric conductivity of the quark-gluon plasma investigated using a perturbative QCD based parton cascade
• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• Electromagnetic radiation by quark-gluon plasma in magnetic field
• A model of the effect of collisions on QCD plasma instabilities
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• A systematic study of magnetic field in Relativistic Heavy-ion Collisions in the RHIC and LHC energy regions
• Effect of intense magnetic fields on reduced-MHD evolution in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions
• Effective description of hot QCD medium in strong magnetic field and longitudinal conductivity
• Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation
• Landau levels in QCD
• Nonlinear electromagnetic response in quark-gluon plasma
• Mass modification of hot pions in magnetized dense medium
• Direct flow of heavy mesons as unique probe of the initial Electro-Magnetic fields in Ultra-Relativistic Heavy Ion collisions

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• Thermal and thermoelectric responses of hot QCD medium in time-varying magnetic fields
• Thermal transport in a weakly magnetized hot QCD medium
• Revisiting shear stress tensor evolution: Non-resistive magnetohydrodynamics with momentum-dependent relaxation time
• Magnetic field-dependent electric charge transport in hadronic medium at finite temperature