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 manifold of non-Abelian isometry, we obtain a four-dimensional colored dissipative fluid coupled to Yang-Mills gauge field. We derive transport coefficients of resulting colored fluid, which feature non-Abelian character of color charges. In particular, we obtain color-specific terms in the gradient expansions and response quantities such as the conductivity matrix and the chemical potentials. We argue that our Kaluza-Klein approach provides a robust description of non-Abelian hydrodynamics, and discuss some links between this system and quark-gluon plasma and fluid/gravity duality.
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Fernández-Melgarejo, J.J., Rey, SJ. & Surówka, P. A new approach to non-Abelian hydrodynamics. J. High Energ. Phys. 2017, 122 (2017). https://doi.org/10.1007/JHEP02(2017)122
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DOI: https://doi.org/10.1007/JHEP02(2017)122