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.

arXiv comment12 pages, 4 figures, two column

References in corpus (59)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Estimate of the magnetic field strength in heavy-ion collisions
• Full result for the QCD equation of state with 2+1 flavors
• Global $\Lambda$ hyperon polarization in nuclear collisions: evidence for the most vortical fluid
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• The QCD Equation of State with almost Physical Quark Masses
• Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
• Charged-particle multiplicity density at mid-rapidity in central Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$ = 2.76 TeV
• Global hyperon polarization at local thermodynamic equilibrium with vorticity, magnetic field and feed-down
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Time and space dependence of electromagnetic field in relativistic heavy-ion collisions
• Topologically induced local P and CP violation in QCD x QED
• Directed Flow of Charm Quarks as a Witness of the Initial Strong Magnetic Field in Ultra-Relativistic Heavy Ion Collisions
• The chiral magnetic effect in hydrodynamical approach
• Kubo formulas for relativistic fluids in strong magnetic fields
• 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
• Longitudinal Conductivity in Strong Magnetic Field in Perturbative QCD: Complete Leading Order
• A model of the effect of collisions on QCD plasma instabilities
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• Electric conductivity of hot and dense quark matter in a magnetic field with Landau level resummation via kinetic equations
• 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
• A quasi-particle description of $(2+1)$- flavor lattice QCD equation of state
• Effective description of hot QCD medium in strong magnetic field and longitudinal conductivity
• Transport coefficients of hot magnetized QCD matter beyond the lowest Landau level approximation
• Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation
• Anomalous-hydrodynamic analysis of charge-dependent elliptic flow in heavy-ion collisions
• Transport coefficients of a hot QCD medium and their relative significance in heavy-ion collisions
• Shear Viscosity of Quark-Gluon Plasma in Weak Magnetic Field in Perturbative QCD: Leading Log
• Landau levels in QCD
• Chiral Vortical Effect for Bosons
• Nonlinear electromagnetic response in quark-gluon plasma
• Hot QCD equations of state and relativistic heavy ion collisions
• Electromagnetic spectral function and dilepton rate in a hot magnetized QCD medium
• Thermal Relaxation, Electrical Conductivity and Charge Diffusion in a Hot QCD Medium
• Bulk viscosity of a hot QCD/QGP medium in strong magnetic field within relaxation-time approximation
• Photonic chiral vortical effect
• Dielectric Functions and Dispersion Relations of Ultra-Relativistic Plasmas with Collisions
• Covariant kinetic theory for effective fugacity quasi particle model and first order transport coefficients for hot QCD matter
• One particle distribution function and shear viscosity in magnetic field: a relaxation time approach
• Collective excitations of a hot anisotropic QCD medium with Bhatnagar-Gross-Krook collisional kernel within an effective description
• Conductivities of magnetic quark-gluon plasma at strong coupling
• Thermodynamic Behaviour of Magnetized QGP within the Self-Consistent Quasiparticle Model
• Chiral magnetic currents with QGP medium response in heavy ion collisions at RHIC and LHC energies
• General structure of fermion two-point function and its spectral representation in a hot magnetised medium
• Mass modification of hot pions in magnetized dense medium
• In search of chiral magnetic effect: separating flow-driven background effects and quantifying anomaly-induced charge separations
• Direct flow of heavy mesons as unique probe of the initial Electro-Magnetic fields in Ultra-Relativistic Heavy Ion collisions
• Transport coefficients and quark-hadron phase transition(s) from PLSM in vanishing and finite magnetic field

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• Thermomagnetic properties and Debye Screening for magnetized quark-gluon Plasma using the extended self-consistent quasiparticle model
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