Evolution of the Chern-Simons Vortices
Li-Bin Fu, Yi-Shi Duan, and Hong Zhang
TL;DR
This paper investigates the topological evolution of Chern-Simons-Higgs vortices, revealing how they generate, annihilate, split, or merge based on the scalar field's topological properties.
Contribution
It introduces a detailed topological analysis of vortex evolution using gauge potential decomposition and $\phi$-mapping theories, highlighting vortex interactions at bifurcation and limit points.
Findings
Vortices are generated or annihilated at limit points.
Vortices encounter, split, or merge at bifurcation points.
Topological properties govern vortex dynamics.
Abstract
Based on the gauge potential decomposition theory and the -mapping theory, the topological inner structure of the Chern-Simons-Higgs vortex has been showed in detail. The evolution of CSH vortices is studied from the topological properties of the Higgs scalar field. The vortices are found generating or annihilating at the limit points and encountering, splitting or merging at the bifurcation points of the scalar field
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