Fluids, Anomalies and the Chiral Magnetic Effect: A Group-theoretic Formulation

TL;DR

This paper develops a group-theoretic formulation of fluid dynamics for nonabelian charged fluids, incorporating flavor anomalies and analyzing effects like the chiral magnetic and vorticity phenomena.

Contribution

It introduces a novel group-valued variable approach to relativistic fluid dynamics, including flavor anomalies and gauge-gravity effects.

Findings

Formulation of fluid dynamics using Lorentz and Poincare groups.

Inclusion of flavor anomalies in the fluid action.

Discussion of chiral magnetic and vorticity effects.

Abstract

It is possible to formulate fluid dynamics in terms of group-valued variables. This is particularly suited to the cases where the fluid has nonabelian charges and is coupled to nonabelian gauge fields. We explore this formulation further in this paper. An action for a fluid of relativistic particles (with and without spin) is given in terms of the Lorentz and Poincare (or de Sitter) groups. Considering the case of particles with flavor symmetries, a general fluid action which also incorporates all flavor anomalies is given. The chiral magnetic and chiral vorticity effects as well as the consequences of the mixed gauge-gravity anomaly are discussed.