Backreaction of excitations on a vortex

Details Backreaction of excitations on a vortex Backreaction of excitations on a vortex

1996-07-15

arxiv.org/abs/hep-th/9607116v1

Phys.Rev. D55 (1997) 942-950

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 18 pages, no figures

Scientific paper

10.1103/PhysRevD.55.942

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.

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