Hydrodynamic effective field theories with discrete rotational symmetry
Xiaoyang Huang, Andrew Lucas
Abstract
A bstract 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.
Topics & Concepts
Dissipative systemPhysicsRotational symmetryClassical mechanicsSymmetry (geometry)Entropy (arrow of time)AnisotropyDiscrete symmetryField (mathematics)Gauge theoryDissipationTheoretical physicsMathematical physicsMechanicsQuantum mechanicsMathematicsGeometryHomogeneous spacePure mathematicsBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesQuantum, superfluid, helium dynamics