English

Dissipative non-Abelian fluids from Scherk-Schwarz dimensional reduction

High Energy Physics - Theory 2026-05-25 v1 General Relativity and Quantum Cosmology

Abstract

We construct a dd-dimensional dissipative colored fluid by Scherk--Schwarz reduction of a neutral viscous conformal fluid in D=d+nD=d+n dimensions on an nn-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, η=\eeαφcoshξ\heta,τ=ηn(D1)(d1),κ=ηsinh2ξ. \eta=\ee^{\alpha\varphi}\cosh\xi\,\heta,\qquad \tau=\eta\,\frac{n}{(D-1)(d-1)},\qquad \kappa=\eta\sinh^2\xi . We also spell out the hydrodynamic-frame issue induced by dimensional reduction, discuss the status of the internal rapidity field ξ\xi, 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 ξ\xi. 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}
}
R2 v1 2026-07-22T07:28:42.570Z