Equilibrium partition function for nonrelativistic fluids

Abstract

We construct an equilibrium partition function for a non-relativistic fluid and use it to constrain the dynamics of the system. The construction is based on light cone reduction, which is known to reduce the Poincare symmetry to Galilean in one lower dimension. We modify the constitutive relations of a relativistic fluid, and find that its symmetry broken phase - `null fluid' is equivalent to the non-relativistic fluid. In particular, their symmetries, thermodynamics, constitutive relations, and equilibrium partition function match exactly to all orders in derivative expansion.

5 pages. v2: major structural modifications

References in corpus (8)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Revisiting non-relativistic limits
• Fields and fluids on curved non-relativistic spacetimes
• Conformal non-relativistic hydrodynamics from gravity
• Aspects of hot Galilean field theory
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• Null Fluids - A New Viewpoint of Galilean Fluids
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• Surface transport in plasma-balls
• A theory for non-Abelian superfluid dynamics
• Existence and Construction of Galilean invariant $z\ne 2$ Theories
• First Order Galilean Superfluid Dynamics
• Nonrelativistic hydrodynamics from quantum field theory: (I) Normal fluid composed of spinless Schrödinger fields
• Gravitational anomalies on the Newton-Cartan background
• Effective field theory for hydrodynamics without boosts
• Holographic Constraints on Generalised Rivlin-Ericksen Fluid
• Second order Galilean fluids & Stokes' law