The Isospin Asymmetry in Anomalous Fluid Dynamics

TL;DR

This paper develops a formalism for describing the dynamics of fluids with nonabelian charges, focusing on isospin asymmetry effects related to neutral pions, extending previous work on chiral magnetic and vorticity phenomena.

Contribution

It introduces a group-valued variable approach to analyze isospin asymmetry in anomalous fluid dynamics, incorporating anomalies into the formalism.

Findings

Formalism captures isospin asymmetry effects in fluid dynamics.

Extension of anomaly-related fluid effects to isospin case.

Provides a theoretical framework for neutral pion asymmetries.

Abstract

The dynamics of fluids in which the constituent particles carry nonabelian charges can be described succinctly in terms of group-valued variables via a generalization of the co-adjoint orbit action for particles. This formalism, which is particularly suitable for incorporating anomalies, has previously been used for the chiral magnetic and chiral vorticity effects. Here we consider the similar effect for the isospin which corresponds to an angular asymmetry for neutral pions.