An analysis of the two-vortex case in the Chern-Simons Higgs model

Details An analysis of the two-vortex case in the Chern-Simons Higgs model An analysis of the two-vortex case in the Chern-Simons Higgs model

1997-10-07

arxiv.org/abs/dg-ga/9710006v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex

Scientific paper

Extending work of Caffarelli-Yang and Tarantello, we present a variational
existence proof for two-vortex solutions of the periodic Chern-Simons Higgs
model and analyze the asymptotic behavior of these solutions as the parameter
coupling the gauge field with the scalar field tends to 0.

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