From field theory to superfluid hydrodynamics of dense quark matter

TL;DR

This paper derives a two-component superfluid hydrodynamic model for dense quark matter from an underlying scalar field theory, linking microscopic parameters to macroscopic behavior relevant for astrophysics.

Contribution

It introduces a novel derivation of superfluid hydrodynamics in dense quark matter from a scalar field theory, incorporating effects of kaon condensation.

Findings

Two-component superfluid description emerges from scalar field theory.

Hydrodynamic quantities are related to microscopic Lagrangian parameters.

Framework applicable to astrophysical models of dense quark matter.

Abstract

Hydrodynamics of superfluids can be described by formally dividing the fluid into a normal fluid and a superfluid part. In color-flavor locked quark matter, at least one superfluid component is present due to spontaneous breaking of baryon number conservation, and an additional one due to the breaking of strangeness arises once one takes into account kaon condensation. We show how such a two-component description emerges from an underlying scalar field theory which can be viewed as an effective theory for kaons. Furthermore, the occurring hydrodynamic quantities in the low-temperature limit are related to the microscopic parameters provided by the Lagrangian which closes the gap between field theory and hydrodynamics, which are important for astrophysical calculations.