Stable finite energy global vortices and asymptotic freedom

TL;DR

This paper presents a model for stable, finite energy global vortices in three-dimensional spacetime, utilizing electric charge and permittivity to achieve stability and explore asymptotic freedom.

Contribution

It introduces a novel approach to stabilize global vortices by trading scale invariance with electric charge in a medium with generalized permittivity, linking to asymptotic freedom.

Findings

Stable, finite energy global vortices are described.

Scale invariance can be traded for electric charge.

The model captures features of asymptotic freedom.

Abstract

This work deals with global vortices in the three-dimensional spacetime. We study the case of a simple model with $U(1)$ symmetry and find a way to describe stable, finite energy global vortices. The price we pay to stabilize the solution is the presence of scale invariance, but we have found a way to trade it with an electric charge in a medium with generalized permittivity, which is further used to capture the basic feature of asymptotic freedom.