Abstract
The response of the hot QCD medium in the presence of external time dependent electromagnetic fields has been studied within the relativistic Boltzmann transport theory. The impact of the time dependence of the electromagnetic fields and collisional aspects of the medium to the induced electric and Hall current densities has been explored. The non-equilibrium momentum distribution of degrees of freedom has been obtained in the presence of space-time varying electromagnetic fields. Further, the analysis has been extended to an anisotropic QCD medium while incorporating the in-medium interaction effects. It is observed that the electric charge transport is sensitive to the inhomogeneity of the fields and the momentum anisotropy of the QCD medium.
Highlights
Experiments at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) have provided evidence for the existence of strongly interacting matter-quark gluon plasma (QGP) [1]
We observe that the time dependence of the electric and magnetic fields has a significant impact on the medium response of the system
We have obtained a general form of the near-equilibrium distribution function of the medium constituents in the presence of inhomogeneous electromagnetic fields
Summary
Experiments at Relativistic Heavy Ion Collider (RHIC) and Large Hadron Collider (LHC) have provided evidence for the existence of strongly interacting matter-quark gluon plasma (QGP) [1]. Attributing to the fact that the generated electromagnetic fields are varying with space and time [5,23–26], it is important to investigate the QCD medium response to the inhomogeneous fields This sets the motivation of the current study. We have analyzed the impact of time dependence of the fields and momentum anisotropy of the medium to the electric charge transport process along with the effects of mean-field corrections to the respective current densities. This may perhaps be the first attempt where the physics of inhomogeneity of the external electromagnetic fields has been incorporated in the analysis of electric charge transport in the context of QCD medium. The quantities E 1⁄4 jEj and B 1⁄4 jBj denote the magnitude of the electric and magnetic fields
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