First Order Galilean Superfluid Dynamics

Understand

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.