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Spherically symmetric solutions of a boundary value problem for monopoles

arXiv:math/0201151 · doi:10.1063/1.1543226

Abstract

In this paper we study spherically symmetric monopoles, which are critical points for the Yang-Mills-Higgs functional over a disk in 3 dimensions, with prescribed degree and covariant constant at the boundary. This is a 3-dimensional gauge-theory generalization of the Ginzburg-Landau model in 2 dimensions.

15 pages, 2 figures, LaTeX