Hydrodynamic effective field theories with discrete rotational symmetry
arXiv:2201.03565 · doi:10.1007/JHEP03(2022)082
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.
20 + 6 pages
References in corpus (13)
- Hydrodynamics of electrons in graphene
- Highly-anisotropic and strongly-dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
- Spacetime Symmetries of the Quantum Hall Effect
- Low-energy effective theory in the bulk for transport in a topological phase
- The eightfold way to dissipation
- Electromagnetic properties of viscous charged fluids
- Kinetic theory of transport for inhomogeneous electron fluids
- Electron hydrodynamics with a polygonal Fermi surface
- General coordinate invariance in quantum many-body systems
- The second law of thermodynamics from symmetry and unitarity
- Anisotropic fluid dynamics in the early stage of relativistic heavy-ion collisions
- A prescription for holographic Schwinger-Keldysh contour in non-equilibrium systems
- General formulation of transverse hydrodynamics