Supersonic String Model for Witten Vortices

TL;DR

This paper introduces a new cosmic string model with two mass parameters that better captures the dynamics of superconducting vortex defects, including current saturation and supersonic wiggle propagation.

Contribution

The paper presents a novel two-parameter cosmic string model that improves upon previous models by accurately representing current saturation and supersonic wiggle propagation.

Findings

Model successfully captures current saturation effects.

Wiggle propagation remains supersonic at weak currents.

Improves realism of vortex defect simulations.

Abstract

A new cosmic string model specified by two independent mass parameters is introduced for the purpose of providing a realistic representation of the macroscopic dynamical behaviour of Witten type (superconducting) vortex defects of the vacuum. Unlike the self dual single mass parameter models previously used for this purpose, the new model successfully represents the effect of current saturation and the feature that wiggle propagation remains supersonic even in the weak current limit.