Vortex solutions of an Abelian Higgs model with visible and hidden sectors

TL;DR

This paper investigates vortex solutions in a model with both visible and hidden sectors, analyzing their stability, parameter dependence, and potential implications for superconductivity.

Contribution

It introduces a coupled Abelian Higgs model with visible and hidden sectors, exploring vortex solutions and their stability, which is a novel extension of previous single-sector studies.

Findings

Vortex solutions depend strongly on parameters of both sectors.

Vortex decay into lower energy states is analyzed.

Hidden sector influences vortex stability and properties.

Abstract

We study vortex solutions in a theory with dynamics governed by two weakly coupled Abelian Higgs models, describing a hidden sector and a visible sector. We analyze the radial dependence of the axially symmetric solutions constructed numerically and discuss the stability of vortex configurations for different values of the model parameters, studying in detail vortex decay into lower energy configurations. We find that even in a weak coupling regime vortex solutions strongly depend on the parameters of both the visible and hidden sectors. We also discuss on qualitative grounds possible implications of the existence of a hidden sector in connection with superconductivity.