Confinement, NonAbelian monopoles, and 2D CP(N-1) model on the worldsheet of finite-length strings

TL;DR

This paper explores the quantum dynamics of the 2D CP(N-1) model on a finite worldsheet to understand the persistence of nonAbelian monopoles, providing insights into quark confinement as a dual Meissner effect.

Contribution

It demonstrates that the 2D CP(N-1) model maintains a confinement phase regardless of string length, highlighting the quantum stability of nonAbelian monopoles.

Findings

The model exhibits a unique confinement phase.

NonAbelian monopoles persist quantum mechanically.

The phase is independent of the string length.

Abstract

Quark confinement is proposed to be a dual Meissner effect of nonAbelian kind. Important hints come from physics of strongly-coupled infrared-fixed-point theories in N=2 supersymmetric QCD, which turn into confining vacua under a small relevant perturbation. The quest for the semiclassical origin of the nonAbelian monopoles, ubiquitous as the infrared degrees of freedom in supersymmetric gauge theories, motivates us to study the quantum dynamics of 2D CP(N-1)model defined on a finite-width worldstrip, with various boundary conditions. The model is found to possess a unique phase ("confinement phase"), independent of the length of the string, showing the quantum persistence of the nonAbelian monopole.