Towards a Hydrodynamic Theory of Infinite Neutral Nonrelativistic Matter

TL;DR

This paper develops a hydrodynamic framework for infinite neutral nonrelativistic matter interacting through gauge fields, treating nuclei and electrons equally in a nonperturbative manner.

Contribution

It introduces a hydrodynamic formalism for such matter systems, recasting the problem in terms of gauge-invariant variables and treating nuclei and electrons on equal footing.

Findings

Nonperturbative hydrodynamic description achieved

Gauge-invariant variables formalized for the system

Equal treatment of nuclei and electrons in the theory

Abstract

We recast the problem of infinite neutral nonrelativistic matter interacting via U(1) gauge fields in the hydrodynamic language. We treat the nuclei as being spinless bosons for simplicity(for example in He4). We write down the formal action in terms of a full set of independent gauge invariant hydrodynamic variables. The claim is that the results of this theory are nonperturbative and nuclei and electrons are treated on an equal footing.