Chiral Alfvén Wave in Anomalous Hydrodynamics

We study the hydrodynamic regime of chiral plasmas at high temperature. We find a new type of gapless collective excitation induced by chiral effects in an external magnetic field. This is a transverse wave, and it is present even in incompressible fluids, unlike the chiral magnetic and chiral vortical waves. The velocity is proportional to the coefficient of the gravitational anomaly. We briefly discuss the possible relevance of this “chiral Alfvén wave” in physical systems.

Figure 1

Configuration of the vectors, $\mathit{B}$, $\mathit{v}$, $\mathit{\omega }$, $\mathit{j}$, and $\mathit{F}$.