Magneto-static vortices in two dimensional Abelian gauge theories

Details Magneto-static vortices in two dimensional Abelian gauge theories Magneto-static vortices in two dimensional Abelian gauge theories

2008-03-19

arxiv.org/abs/0803.2784v1

Mathematics

Analysis of PDEs

23 pages, no figures

Scientific paper

We study the existence of vortices of the Klein-Gordon-Maxwell equations in the two dimensional case. In particular we find sufficient conditions for the existence of vortices in the magneto-static case, i.e when the electric potential $\phi=0$. This result, due to the lack of suitable embedding theorems for the vector potential $\A$ is achieved with the help of a penalization method.

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