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

TL;DR

This paper calculates the electrical conductivity of a hot, dense quark-gluon plasma in a magnetic field using kinetic theory, revealing its dependence on temperature, chemical potential, and magnetic field strength.

Contribution

It derives the electrical conductivity in a magnetic field from the relativistic Boltzmann equation, including finite chemical potential effects, which is a novel extension.

Findings

Electrical conductivity decreases with increasing magnetic field.

Conductivity at nonzero magnetic field aligns with lattice and model estimates.

Finite chemical potential effects on conductivity are analyzed.

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\neq 0 $. Further, we extend our calculation at finite chemical potential.