First Order Galilean Superfluid Dynamics

Abstract

We study dynamics of (anomalous) Galilean superfluid up to first order in derivative expansion, both in parity-even and parity-odd sectors. We construct a relativistic system -- null superfluid, which is a null fluid (introduced in [arXiv:1509.04718]) with a spontaneously broken global $U(1)$ symmetry. A null superfluid is in one to one correspondence with Galilean superfluid in one lower dimension, i.e. they have same symmetries, thermodynamics, constitutive relations and are related to each other by a mere choice of basis. The correspondence is based on null reduction, which is known to reduce the Poincaré symmetry of a theory to Galilean symmetry in one lower dimension. To perform this analysis, we use offshell formalism of (super)fluid dynamics, adopting it appropriately to null (super)fluids.

50+1 pages

References in corpus (9)

• Theory of ultracold Fermi gases
• Revisiting non-relativistic limits
• Towards an effective action for relativistic dissipative hydrodynamics
• The eightfold way to dissipation
• Conformal non-relativistic hydrodynamics from gravity
• Entropy Current from Partition Function: One Example
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• Entropy current for non-relativistic fluid
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Cited by in corpus (5)

• Dissipative hydrodynamics with higher-form symmetry
• Ideal fracton superfluids
• Thermodynamic origin of the Landau instability of superfluids
• Holographic Constraints on Generalised Rivlin-Ericksen Fluid
• Second order Galilean fluids & Stokes' law