Electrical conductivity of a hot and dense QGP medium in a magnetic field

Abstract

We compute the electrical conductivity (${\sigma }_{el}$) in the presence of constant and homogeneous external electromagnetic field for the static quark-gluon plasma (QGP) medium, which is among the important transport coefficients of QGP. We present the derivation of the electrical conductivity by solving the relativistic Boltzmann kinetic equation in the relaxation time approximation in the presence of magnetic field ($B$). We investigate the dependence of electrical conductivity on the temperature and finite chemical potential in magnetic field. We find that electrical conductivity decreases with the increase in the presence of magnetic field. We observe that ${\sigma }_{el}$ at a nonzero $B$ remains within the range of the lattice and model estimate at $B\ne 0$. Further, we extend our calculation at finite chemical potential.

9 pages, 2 figures

References in corpus (22)

• The Chiral Magnetic Effect
• Chiral Magnetic Wave
• Testing the chiral magnetic and chiral vortical effects in heavy ion collisions
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Electrical conductivity and charge diffusion in thermal QCD from the lattice
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
• A Family of Equations of State Based on Lattice QCD: Impact on Flow in Ultrarelativistic Heavy-Ion Collisions
• Electric conductivity of the quark-gluon plasma investigated using a perturbative QCD based parton cascade
• Electric Conductivity from the solution of the Relativistic Boltzmann Equation
• Photon decay in strong magnetic field in heavy-ion collisions
• Magnetic field effects on the static quark potential at zero and finite temperature
• Self-consistent quasiparticle model for quark-gluon plasma
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• Electrical conductivity and Hall conductivity of hot and dense hadron gas in a magnetic field: a relaxation time approach
• Revisit to electrical and thermal conductivities, Lorenz number and Knudsen number in thermal QCD in a strong magnetic field
• Electrical Conductivity of an Anisotropic Quark Gluon Plasma : A Quasiparticle Approach
• Quasiparticle Model of Quark-Gluon Plasma at Imaginary Chemical Potential
• Flavor Diagonal and Off-Diagonal Susceptibilities in a Quasiparticle Model of the Quark-Gluon Plasma
• Longitudinal conductivity of hot magnetized collisional QCD medium in the inhomogeneous electric field
• A Hybrid Model for QCD Deconfining Phase Boundary
• Effect of an electromagnetic field on the spectra and elliptic flow of particles

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