We prove the existence of non-topological $N$-vortex solutions for an arbitrary number $N$ of vortex points for the self-dual Chern-Simons-Higgs theory with 't Hooft "periodic" boundary conditions. We use a shadowing type lemma to glue together any number of single vortex obtained as a perturbation of a radially symmetric entire solution of the Liouville equation.
Nontopological N-Vortex Condensates for the Self-Dual Chern- Simons Theory
NOLASCO, MARGHERITA
2003-01-01
Abstract
We prove the existence of non-topological $N$-vortex solutions for an arbitrary number $N$ of vortex points for the self-dual Chern-Simons-Higgs theory with 't Hooft "periodic" boundary conditions. We use a shadowing type lemma to glue together any number of single vortex obtained as a perturbation of a radially symmetric entire solution of the Liouville equation.File in questo prodotto:
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