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We derive an analytic formula for electric and magnetic fields produced by a moving charged particle in a conducting medium with the electric conductivity and the chiral magnetic conductivity _. We use the Green's function method and assume that _ is much smaller than. The compact algebraic expressions for electric and magnetic fields without any integrals are obtained. They recover the Lienard--Wiechert formula at vanishing conductivities. Exact numerical solutions are also found for any values of and _ and are compared with analytic results. Both numerical and analytic results agree very well for the scale of high-energy heavy ion collisions. The spacetime profiles of electromagnetic fields in noncentral Au+Au collisions have been calculated based on these analytic formula as well as exact numerical solutions.
Li et al. (Mon,) studied this question.