Confinement at Large Nc

TL;DR

This paper discusses the confinement mechanism in quantum chromodynamics for any number of colors Nc, highlighting challenges in the large Nc limit and proposing that Bose condensation indicates the type of confinement.

Contribution

It analyzes the Abelian projection scheme for confinement across different Nc and addresses the large Nc limit difficulties, suggesting Bose condensation as an indicator of confinement type.

Findings

Challenges in Nc to infinity limit due to diverging monopole charges

Bose condensation signals the nature of confinement

Confinement mechanism depends on additional features beyond monopole condensation

Abstract

A discussion is given of the confinement mechanism in terms of the Abelian projection scheme, for a general number Nc of colors. There is a difficulty in the Nc to infinity limit that requires a careful treatment, as the charges of the condensing magnetic monopoles tend to infinity. We suggest that Bose condensation of electric or magnetic charges is indicative for the kind of confinement that takes place, but the actual mechanism of confinement depends on other features as well.