Meissner screening masses in gluonic phase

TL;DR

This paper numerically analyzes the Meissner masses in the minimal cylindrical gluonic phase of cold two-flavor quark matter, revealing stability against chromomagnetic instability through detailed gluonic mass calculations.

Contribution

It introduces a new formula for Meissner masses without second derivatives and demonstrates the gluonic phase's stability in a wide parameter region.

Findings

The gapless mode significantly affects the Meissner mass.

Large positive contributions from the gluon potential stabilize transverse gluon modes.

The gluonic phase resolves chromomagnetic instability over a broad region.

Abstract

A numerical analysis for the Meissner mass in the simplest gluonic phase (the minimal cylindrical gluonic phase II) is performed in the framework of the gauged Nambu-Jona-Lasinio model with cold two-flavor quark matter. We derive Meissner mass formulae without using the numerical second derivative. It is revealed that the gapless mode yields a characterized contribution to the Meissner mass. We also find that there are large and positive contributions from the tree gluon potential term to the transverse modes of gluons. It is shown that the simplest gluonic phase resolves the chromomagnetic instability in a rather wide region.