Restoring time-reversal covariance in relaxed hydrodynamics

Abstract

In hydrodynamics, for generic relaxations, the stress tensor and $U(1)$ charge current two-point functions are not time-reversal covariant. This remains true even if the Martin-Kadanoff procedure happens to yield Onsager reciprocal correlators. We consider linearised relativistic hydrodynamics on Minkowski space in the presence of energy, $U(1)$ charge and momentum relaxation. We then show how one can find the minimal relaxed hydrodynamic framework that does yield two-point functions consistent with time-reversal covariance. We claim the same approach naturally applies to boost agnostic hydrodynamics and its limits (e.g. Carrollian, Galilean and Lifshitz fluids).

16 pages, no figures, Submission to SciPost

References in corpus (4)

• Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes
• Thermo-electric transport in gauge/gravity models with momentum dissipation
• Magneto-thermal transport implies an incoherent Hall conductivity
• On the hydrodynamics of (2 + 1)-dimensional strongly coupled relativistic theories in an external magnetic field

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• Holographic D-brane constructions with dynamical gauge fields