Abstract:
We compute the electrical conductivity (σel) 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 σel at a nonzero B remains within the range of the lattice and model estimate at B 6= 0. Further, we extend our calculation at finite chemical potential.