Color Magnetic Flux Tubes in Dense QCD

TL;DR

This paper investigates the properties of non-Abelian color magnetic flux tubes in dense QCD's color-flavor locked phase, providing numerical solutions and analytical profiles that differ from conventional superconductors.

Contribution

It offers the first detailed numerical and analytical analysis of non-Abelian flux tubes in dense QCD, highlighting their unique asymptotic behavior and flux width characteristics.

Findings

Flux tube profiles differ from those in usual superconductors.

The flux tube width exceeds the naive Compton wavelength estimate.

Numerical solutions confirm the stability of topological flux tubes in dense QCD.

Abstract

QCD is expected to be in the color-flavor locking phase in high baryon density, which exhibits color superconductivity. The most fundamental topological objects in the color superconductor are non-Abelian vortices which are topologically stable color magnetic flux tubes. We present numerical solutions of the color magnetic flux tube for diverse choices of the coupling constants. We also analytically study its asymptotic profiles and find that they are different from the case of usual superconductors. We propose the width of color magnetic fluxes and find that it is larger than naive expectation of the Compton wave length of the massive gluon when the gluon mass is larger than the scalar mass.