On chiral vortical effect in accelerated matter

TL;DR

This paper investigates the chiral vortical effect in accelerated matter, emphasizing the role of fluid helicity conservation and its implications for the thermal chiral vortical effect, with considerations of gravity effects.

Contribution

It demonstrates that in accelerated matter, fluid helicity conservation allows the axial current to be reconstructed from flat-space limits, highlighting a separation of microscopic chirality and macroscopic helicity.

Findings

Fluid helicity conservation in accelerated matter.

Separation of microscopic chirality and macroscopic helicity.

Implications for thermal chiral vortical effect in gravitational fields.

Abstract

We revisit the evaluation of the chiral vortical effect in the accelerated matter. To first order in the acceleration the corresponding matrix element of the axial current can be reconstructed from the flat-space limit. A crucial point is the existence in the this case of an extra conservation law of fluid helicity. As a result, the chirality of the microscopic degrees of freedom and helicity of the macroscopic motion are separately conserved. This separation persists also in presence of gravity. Implications for the thermal chiral vortical effect are discussed.