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.
Highlights
Of the gauge coupling constants and on the scalar potentials parameters including the case in which one of the U(1) gauge symmetry remains unbroken
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 consider a model with two U(1) gauge fields, Aμ and Gμ, each one coupled to complex scalars, φ and ψ respectively, with dynamics governed by the following Lagrangian in 3 + 1 space-time dimensions
Summary
We consider a model with two U(1) gauge fields, Aμ and Gμ, each one coupled to complex scalars, φ and ψ respectively, with dynamics governed by the following Lagrangian in 3 + 1 space-time dimensions. If fields and parameters in the visible and the hidden sector are identified (this implying the the number of units of magnetic flux in the ansatz), Lagrangian (2.8) becomes the same as that of the ordinary Abelian Higgs model apart from an overall factor 1/2 and a shift in the gauge coupling constant e → e/ 1 − χ2. In this very special case one finds the usual Bogomolny equations with the Bogomolny point separating Type I and Type II superconductivities shifted κ2 → (1 − χ2)κ2.
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