Coupling between Majorana fermions and Nambu-Goldstone bosons inside a non-Abelian vortex in dense QCD

TL;DR

This paper investigates the interaction between Majorana fermions and Nambu-Goldstone bosons localized on non-Abelian vortices in dense QCD, revealing their coupling structure through nonlinear realization methods.

Contribution

It provides a detailed analysis of the coupling between bosonic and fermionic modes on non-Abelian vortices in high-density QCD using nonlinear realization techniques.

Findings

Coupling between Majorana fermions and Nambu-Goldstone bosons is explicitly derived.

The structure of localized modes on non-Abelian vortices is clarified.

Results contribute to understanding color superconductivity in dense quark matter.

Abstract

Quark matter at high density may exhibit color superconductivity. As magnetic flux tubes in metallic superconductors, color magnetic flux tubes as non-Abelian vortices appear in the color-flavor locked phase of high density QCD. ${\mathbb C}P^2$ Nambu-Goldstone bosons and Majorana fermions belonging to the triplet representation are known to be localized around a non-Abelian vortex. In this paper, we determine the coupling of these bosonic and fermionic modes by using the nonlinear realization method.