Hydrodynamics with Triangle Anomalies

TL;DR

This paper reveals a new term in hydrodynamics induced by quantum anomalies, leading to novel effects like chiral separation in rotating fluids, with implications for physical systems such as heavy ion collisions.

Contribution

It identifies a previously overlooked term in anomalous hydrodynamics that is mandated by symmetries and thermodynamics, providing a complete description of anomaly-induced transport.

Findings

Discovered a new anomaly-induced term in hydrodynamic currents.

Derived kinetic coefficients expressed through anomaly coefficients.

Predicted chiral separation effect in rotating fluids.

Abstract

We consider the hydrodynamic regime of theories with quantum anomalies for global currents. We show that a hitherto discarded term in the conserve current is not only allowed by symmetries, but is in fact required by triangle anomalies and the second law of thermodynamics. This term leads to a number of new effects, one of which is chiral separation in a rotating fluid at nonzero chemical potential. The new kinetic coefficients can be expressed, in a unique fashion, through the anomalies coefficients and the equation of state. We briefly discuss the relevance of this new hydrodynamic term for physical situations, including heavy ion collisions.