Vortons with Abelian and non-Abelian currents and their stability

TL;DR

This paper investigates the properties and stability of vorton solutions in models with Abelian and non-Abelian currents, including numerical and analytical analyses, and discusses their decay and dynamic behavior.

Contribution

It introduces new vorton solutions in a modified non-Abelian model and compares numerical results with analytical thin vorton limit solutions.

Findings

Vorton solutions are numerically obtained for specific parameters.

Analytical solutions in the thin vorton limit are consistent with numerical results.

Discussion of vorton decay mechanisms and dynamic behavior above charge thresholds.

Abstract

We explore vorton solutions in the Witten's $U(1) \times U(1)$ model for cosmic strings and in a modified version $U(1) \times SO(3)$ obtained by introducing a triplet of non-Abelian fields to condense inside the string. We restrict to the case in which the unbroken symmetry in the bulk remains global. The vorton solutions are found numerically for certain choices of parameters and compared with an analytical solutions obtained in the thin vorton limit. We also discuss the vorton decay into Q-rings (or spinning Q-balls) and, to some extent, the time dependent behavior of vortons above the charge threshold.