An analysis of the two-vortex case in the Chern-Simons Higgs model
W. Ding, J. Jost, J. Li, G. Wang
TL;DR
This paper proves the existence of two-vortex solutions in the periodic Chern-Simons Higgs model using variational methods and studies their behavior as the coupling parameter approaches zero.
Contribution
It provides a new variational existence proof for two-vortex solutions and analyzes their asymptotic behavior in the Chern-Simons Higgs model.
Findings
Existence of two-vortex solutions established.
Asymptotic behavior characterized as the coupling parameter tends to zero.
Extension of previous work by Caffarelli-Yang and Tarantello.
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.
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Taxonomy
TopicsAdvanced Mathematical Physics Problems · Advanced Mathematical Modeling in Engineering · Black Holes and Theoretical Physics