A study on the collective behavior of chiral plasma using first and second order conformal hydrodynamics

Abstract

We study the collective behaviour of a chiral plasma, for the first and second order conformal hydrodynamics. We have shown that in the early Universe, when the Universe was in thermal equilibrium and there was an asymmetry in the number densities of right and left handed particles, few modes grow exponentially for the values of wave number \(k \leq \xi^B\). However, by using conformal first order hydro, we have shown that in a quasi-equilibrium state of the chiral plasma, waves moving parallel or perpendicular to the background magnetic field, get split into two modes similar to the fast and slow hydrodynamic modes in the standard plasma. However, for the second order conformal hydrodynamics, dispersion relation has a series of terms proportional to different powers of \(k\). These terms are in accordance with the results obtained using ADS/CFT correspondence.