Confined Monopoles Induced by Quantum Effects in Dense QCD

TL;DR

This paper demonstrates the quantum-induced formation of confined monopole mesons within non-Abelian vortices in dense QCD, revealing a duality between hadronic and color superconducting phases.

Contribution

It analytically shows the emergence of confined monopole mesons in dense QCD via quantum effects in the effective vortex theory, introducing a new perspective on quark-monopole duality.

Findings

Confined monopole mesons are dynamically generated as bound states of kinks.

Monopole mass scales exponentially with the chemical potential and gap.

A potential duality between hadron and color superconducting phases is discussed.

Abstract

We analytically show that mesonic bound states of confined monopoles appear inside a non-Abelian vortex-string in massless three-flavor QCD at large quark chemical potential mu. The orientational modes CP^2 in the internal space of a vortex is described by the low-energy effective world-sheet theory. Mesons of confined monopoles are dynamically generated as bound states of kinks by the quantum effects in the effective theory. The mass of monopoles is shown to be an exponentially soft scale Delta*exp[-c*(mu/Delta)^2], with the color superconducting gap Delta and some constant c. A possible quark-monopole duality between the hadron phase and the color superconducting phase is also discussed.