Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma

TL;DR

This paper investigates how electromagnetic fields evolve in quark-gluon plasma during heavy-ion collisions, highlighting the instability caused by chiral conductivity and deriving analytical expressions for magnetic fields.

Contribution

It provides a novel analysis of Maxwell equations with finite chiral conductivity, revealing instabilities and oscillations in magnetic fields relevant to heavy-ion collision experiments.

Findings

Finite chiral conductivity causes exponential growth of soft modes.

Magnetic fields exhibit early-time oscillations due to chiral effects.

Derived analytical expressions for magnetic fields of a point charge.

Abstract

Time evolution of electromagnetic field created in heavy-ion collisions strongly depends on the electromagnetic response of the quark-gluon plasma, which can be described by the Ohmic and chiral conductivities. The later is intimately related to the Chiral Magnetic Effect. I argue that a solution to the classical Maxwell equations at finite chiral conductivity is unstable due to the soft modes $k<\sigma_\chi$ that grow exponentially with time. In the kinematical region relevant for the relativistic heavy-ion collisions, I derive analytical expressions for the magnetic field of a point charge. I show that finite chiral conductivity causes oscillations of magnetic field at early times.