Electromagnetic response in an expanding quark-gluon plasma

Abstract

The validity of conventional Ohm's law is tested in the context of a rapidly evolving quark-gluon plasma produced in heavy-ion collisions. Here we discuss the electromagnetic response using an analytical solution in kinetic theory. As conjectured previously, after switching on an electric field in a nonexpanding plasma, the time-dependent current is given by $\mathbf{J}(t)=(1-e^{-t/{\tau }_0}){\sigma }_0\mathbf{E}$, where ${\tau }_0$ is the transport relaxation time and ${\sigma }_0$ is the steady-state electrical conductivity. Such an incomplete electromagnetic response reduces the efficiency of the magnetic flux trapping in the quark-gluon plasma and may prevent the observation of the chiral magnetic effect. Here we extend the study to the case of a rapidly expanding plasma. We find that the decreasing temperature and the increasing transport relaxation time have opposite effects on the electromagnetic response. While the former suppresses the time-dependent conductivity, the latter enhances it.

arXiv comment9 pages, 2 figures; v2: published version with minor revisions

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• Quantum version of transport coefficients in Nambu--Jona-Lasinio model at finite temperature and strong magnetic field
• Evolution of chirality in a multiphoton pair production process
• Strongly interacting matter in extreme magnetic fields
• The Yukawa potential under weak magnetic field
• Two-gluon one-photon vertex in a magnetic field and its explicit one-loop approximation in the intermediate field strength regime
• Short Note on Spin Magnetization in QGP