Chiral Vortical Effect in Superfluid

TL;DR

This paper investigates the chiral vortical effect in rotating superfluid pionic liquids, proposing that chiral currents are carried by fermionic zero modes on vortices, leading to a modified current magnitude.

Contribution

It introduces a novel perspective that chiral currents in superfluids are due to fermionic zero modes on vortices, differing from standard models.

Findings

Chiral current is carried by fermionic zero modes on vortices.

The evaluated current differs by a factor of two from the standard result.

Zero modes propagate at the speed of light, affecting the current calculation.

Abstract

We consider rotating superfluid pionic liquid, with superfluidity being induced by isospin chemical potential. The rotation is known to result in a chiral current flowing along the axis of the rotation. We argue that in case of superfluidity the chiral current is realized on fermionic zero modes propagating along vortices. The current evaluated in this way differs by a factor of two from the standard one. The reason is that the chiral charge is carried by zero modes which propagate with speed of light, and thus the liquid cannot be described by a single (local) velocity, like it is assumed in standard derivations.