Dissipative non-Abelian fluids from Scherk-Schwarz dimensional reduction
Abstract
We construct a -dimensional dissipative colored fluid by Scherk--Schwarz reduction of a neutral viscous conformal fluid in dimensions on an -dimensional unimodular group manifold. The off-diagonal components of the higher-dimensional stress tensor become non-Abelian color currents, while the higher-dimensional shear tensor induces shear, bulk-like and vector-dissipative structures in the reduced theory. We derive the map for the equation of state, sound speed, color current, entropy current and first-order transport coefficients. In particular, We also spell out the hydrodynamic-frame issue induced by dimensional reduction, discuss the status of the internal rapidity field , and give a detailed account of how the second law descends from the parent theory, including the roles of temperature-dependent viscosity, non-unimodular groups and possible choices for . The construction should be regarded as a toy model for non-Abelian dissipative hydrodynamics with the potential of paving the way to direct phenomenological model of, for example, quark--gluon plasma.
Keywords
Cite
@article{arxiv.2605.23842,
title = {Dissipative non-Abelian fluids from Scherk-Schwarz dimensional reduction},
author = {Emilio Torrente-Lujan},
journal= {arXiv preprint arXiv:2605.23842},
year = {2026}
}