A Note on the Field-Theoretical Description of Superfluids

TL;DR

This paper discusses a field-theoretical Lagrangian approach to superfluids, highlighting new invariants and parametrizations that improve the description of fluid and superfluid phases from a theoretical perspective.

Contribution

It introduces a novel invariant in the Lagrangian framework that enhances the parametrization of superfluid dynamics, building on recent fluid/gravity correspondence research.

Findings

New invariant related to fluid dynamics identified

Enhanced parametrization of superfluid phases proposed

Connection to fluid/gravity correspondence explored

Abstract

Recently, a Lagrangian description of superfluids attracted some interest from the fluid/gravity-correspondence viewpoint. In this respect, the work of Dubovksy et al. has proposed a new field theoretical description of fluids, which has several interesting aspects. On another side, we have provided in arXiv:1304.2206 a supersymmetric extension of the original works. In the analysis of the Lagrangian structures a new invariant appeared which, although related to known invariants, provides, in our opinion, a better parametrisation of the fluid dynamics in order to describe the fluid/superfluid phases.