Non-abelian Vortices: Existence, Uniqueness and Asymptotics
نویسندگان
چکیده
منابع مشابه
Non-Abelian vortices and non-Abelian statistics.
We study the interactions of non-abelian vortices in two spatial dimensions. These interactions have novel features, because the Aharonov-Bohm effect enables a pair of vortices to exchange quantum numbers. The cross section for vortex-vortex scattering is typically a multi-valued function of the scattering angle. There can be an exchange contribution to the vortex-vortex scattering amplitude th...
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We construct exact wavefunctions of two vortices on a plane, a single vortex on the cylinder and a vortex on the torus. In each case, the physics is shown to be equivalent to a particle moving in a covering space, something simple to solve in those examples. We describe how our solutions fit into the general theory of quantum mechanics of N particles on a two-dimensional space and attribute our...
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ژورنال
عنوان ژورنال: Milan Journal of Mathematics
سال: 2011
ISSN: 1424-9286,1424-9294
DOI: 10.1007/s00032-011-0160-9