Color Magnetic Flux Tubes in Dense QCD. II: Effective World-Sheet Theory

TL;DR

This paper derives the effective world-sheet theory for non-Abelian superfluid vortices in high-density QCD, revealing localized zero modes despite logarithmic divergence, advancing understanding of color magnetic flux tubes in dense quark matter.

Contribution

It provides the first derivation of the low-energy effective theory for non-Abelian vortices in dense QCD, highlighting the localization of zero modes.

Findings

Zero modes are localized around the vortex despite divergence.

Derived the low-energy effective world-sheet theory.

Enhanced understanding of flux tubes in dense QCD.

Abstract

Color magnetic flux tubes appear in the color-flavor locked phase of high density QCD, which exhibits color superconductivity as well as superfluidity. They are non-Abelian superfluid vortices and are accompanied by orientational zero modes in the internal space associated with the color-flavor locked symmetry spontaneously broken in the presence of the vortex. We show that those zero modes are localized around the vortex in spite of the logarithmic divergence of its tension, and derive the low-energy effective theory of them on the world-sheet of the vortex-string.