A New Approach to Non-Abelian Hydrodynamics

TL;DR

This paper introduces a novel method for modeling non-Abelian hydrodynamics using higher-dimensional compactification, resulting in a colored dissipative fluid with gauge interactions, applicable to systems like quark-gluon plasma.

Contribution

It develops a new approach based on Kaluza-Klein compactification to derive non-Abelian hydrodynamics with explicit gauge interactions and transport coefficients.

Findings

Derived transport coefficients showing non-Abelian features

Obtained group-valued terms in gradient expansions

Applicable to any gauge group, demonstrated with SU(2)

Abstract

We present a new approach to describe hydrodynamics carrying non-Abelian macroscopic degrees of freedom. Based on the Kaluza-Klein compactification of a higher-dimensional neutral dissipative fluid on a group manifold, we obtain a d=4 colored dissipative fluid coupled to Yang-Mills gauge field. We calculate the transport coefficients of the new fluid, which show the non-Abelian character of the gauge group. In particular, we obtain group-valued terms in the gradient expansions and response quantities such as the conductivity matrix and the chemical potentials. While using SU(2) for simplicity, this approach is applicable to any gauge group. Resulting a robust description of non-Abelian hydrodynamics, we discuss some links between this system and quark-gluon plasma and fluid/gravity duality.