English

Spherically symmetric solutions of a boundary value problem for monopoles

Differential Geometry 2010-11-19 v1 Mathematical Physics Analysis of PDEs math.MP

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.

Keywords

Cite

@article{arxiv.math/0201151,
  title  = {Spherically symmetric solutions of a boundary value problem for monopoles},
  author = {Antonella Marini and Lorenzo Sadun},
  journal= {arXiv preprint arXiv:math/0201151},
  year   = {2010}
}

Comments

15 pages, 2 figures, LaTeX

R2 v1 2026-07-22T16:42:45.222Z