Stable cosmic vortons in bosonic field theory

TL;DR

This paper constructs and analyzes stable ring solutions called cosmic vortons in a bosonic field theory, providing evidence of their stability and validating semi-analytic models for their formation and evolution.

Contribution

First construction of potentially cosmologically relevant stable vortons using gradient flow, with strong evidence of stability and validation of semi-analytic predictions.

Findings

Solutions are stable to axial and non-axial perturbations.

Quantitative agreement with thin string approximation predictions.

Validation of worldsheet action approaches for vorton formation.

Abstract

Stable ring solutions supported by the angular momentum caused by superconducting charge and current have been suggested to exist in the gauged $U(1)\times U(1)$ field theory. We construct potentially cosmologically relevant solutions using gradient flow for the first time and present the strongest evidence to date that they are stable to axial and, more importantly, non-axial perturbations. More importantly, we illustrate quantitative agreement with semi-analytic predictions based on the thin string approximation which validates worldsheet action approaches to their formation and evolution.