An analysis of the two-vortex case in the Chern-Simons Higgs model
Abstract
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.
- Publication:
-
eprint arXiv:dg-ga/9710006
- Pub Date:
- October 1997
- DOI:
- 10.48550/arXiv.dg-ga/9710006
- arXiv:
- arXiv:dg-ga/9710006
- Bibcode:
- 1997dg.ga....10006D
- Keywords:
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- Differential Geometry
- E-Print:
- 13 pages, Latex