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arXiv · hep-th/9507025

Zero Modes of Rotationally Symmetric Generalized Vortices and Vortex Scattering

J. Burzlaff·D. H. Tchrakian
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Abstract

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 $\fracπ{n}$ symmetry.

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J. Burzlaff, D. H. Tchrakian. 1995-07-05. Zero Modes of Rotationally Symmetric Generalized Vortices and Vortex Scattering. https://doi.org/10.1063/1.531434

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