Hydrodynamic effective field theories with discrete rotational symmetry

Abstract

We develop a hydrodynamic effective field theory on the Schwinger-Keldysh contour for fluids with charge, energy, and momentum conservation, but only discrete rotational symmetry. The consequences of anisotropy on thermodynamics and first-order dissipative hydrodynamics are detailed in some simple examples in two spatial dimensions, but our construction extends to any spatial dimension and any rotation group (discrete or continuous). We find many possible terms in the equations of motion which are compatible with the existence of an entropy current, but not with the ability to couple the fluid to background gauge fields and vielbein.

arXiv comment20 + 6 pages

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• Resolving Hall and dissipative viscosity ambiguities via boundary effects
• Hydrodynamics with triangular point group
• Plasmonic quantum nonlinear Hall effect in noncentrosymmetric 2D materials
• Viscoelastic tensor and hydrodynamics of altermagnets
• Dynamics in the presence of local symmetry-breaking impurities
• Viscoelastic response and anisotropic hydrodynamics in Weyl semimetals
• Anisotropy of the hydrostatic stress for Hall droplets with in-plane magnetic field