Zero Modes of Rotationally Symmetric Generalized Vortices and Vortex Scattering

Details Zero Modes of Rotationally Symmetric Generalized Vortices and Vortex Scattering Zero Modes of Rotationally Symmetric Generalized Vortices and Vortex Scattering

1995-07-05

arxiv.org/abs/hep-th/9507025v1

J.Math.Phys.37:650-657,1996

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. latex

Scientific paper

10.1063/1.531434

Zero modes of rotationally symmetric vortices in a hierarchy of generalized Abelian Higgs models are studied. Under the finite-energy and the smoothness condition, it is shown, that in all models, $n$ self-dual vortices superimposed at the origin have $2n$ modes. The relevance of these modes for vortex scattering is discussed, first in the context of the slow-motion approximation. Then a corresponding Cauchy problem for an all head-on collision of $n$ vortices is formulated. It is shown that the solution of this Cauchy problem has a $\frac{\pi}{n}$ symmetry.

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