Chiral vortices in relativistic hydrodynamics

TL;DR

This paper presents analytic solutions in relativistic hydrodynamics incorporating parity violation and anomalies, explaining charge asymmetry in heavy ion collisions and potential implications for early universe baryogenesis and neutron stars.

Contribution

It introduces new analytic solutions with anomalous and parity-violating terms in relativistic hydrodynamics, modeling charge asymmetry phenomena.

Findings

Solutions demonstrate chiral magnetic and vortical effects.

Calculated net chiral charge differences.

Potential relevance to baryogenesis and astrophysical phenomena.

Abstract

Towards modelling the charge asymmetry observed in heavy ion collisions, we present here analytic solutions of relativistic hydrodynamics containing parity violating and anomalous terms at the first order in the hydrodynamic approximation. These terms can induce chiral magnetic and chiral vortical effect leading to the generation of the charge asymmetry. We also consider sphaleron solutions with non trivial winding number to model the phenomenon. We calculate the net chiral charge difference produced in our solutions. We anticipate their relevance also in the context of baryogenesis in early universe, neutron star and some condensed matter situations.