Backreaction of excitations on a vortex

TL;DR

This paper studies how Proca-type excitations affect a vortex in the Abelian Higgs model, revealing that excited vortices radiate vector fields and exhibit broad oscillations, extending understanding beyond linear approximations.

Contribution

It introduces an exact Ansatz for excited vortex fields and derives linear wave equations for backreaction, providing new insights into vortex excitations in the Abelian Higgs model.

Findings

Excited vortices radiate vector fields.

Higgs field exhibits broad oscillations.

Derived linear wave equations for backreaction.

Abstract

Excitations of a vortex are usually considered in a linear approximation neglecting their backreaction on the vortex. In the present paper we investigate backreaction of Proca type excitations on a straightlinear vortex in the Abelian Higgs model. We propose exact Ansatz for fields of the excited vortex. From initial set of six nonlinear field equations we obtain (in a limit of weak excitations) two linear wave equations for the backreaction corrections. Their approximate solutions are found in the cases of plane wave and wave packet type excitations. We find that the excited vortex radiates vector field and that the Higgs field has a very broad oscillating component.