Note on color neutral solutions of the $K^0$ condensed color-flavor locked phase

TL;DR

This paper investigates color neutrality in the $K^0$ condensed phase of color-flavor locked quark matter with nonzero strange quark mass, introducing a self-consistent, model-independent approach to evaluate solutions.

Contribution

It presents a new self-consistent method to evaluate color neutral solutions considering $m_s$ effects on kaon condensate and Fermi surfaces, clarifying the role of gluon fields.

Findings

Developed a model-independent framework for color neutrality.

Highlighted the distinction between gluon field expectation values and color chemical potentials.

Provided insights into the $K^0$ condensed phase with nonzero strange quark mass.

Abstract

In the presence of nonzero strange quark mass $m_s$, we investigate color neutrality in the $K^0$ condensed phase of color-flavor locked quark matter. By treating the $m_s$ effects on both kaon condensate and Fermi-surface phenomenon self-consistently, we develop a new treatment to evaluate color neutral solutions within the model-independent framework. It is pointed out that, in the general sense, the expectation values of gluon fields obtained from dynamics of Goldstone bosons solely are not identified with the factual color chemical potentials.