Topological Interactions of Non-Abelian Vortices with Quasi-Particles in High Density QCD

TL;DR

This paper derives a dual Lagrangian for non-Abelian vortices in dense QCD, revealing their topological interactions with quasiparticles like phonons and gluons, and clarifying how these interactions depend on vortex zero modes.

Contribution

It introduces a dual Lagrangian framework for non-Abelian vortices in the CFL phase of dense QCD, detailing their interactions with quasiparticles.

Findings

Phonons couple to vortex translational zero modes.

Gluons couple to vortex orientational zero modes.

Derived topological interaction terms in the dual Lagrangian.

Abstract

Non-Abelian vortices are topologically stable objects in the color-flavor locked (CFL) phase of dense QCD. We derive a dual Lagrangian starting with the Ginzburg-Landau effective Lagrangian for the CFL phase, and obtain topological interactions of non-Abelian vortices with quasiparticles such as $U(1)_B$ Nambu-Goldstone bosons (phonons) and massive gluons. We find that the phonons couple to the translational zero modes of the vortices while the gluons couple to their orientational zero modes in the internal space.