The existence of self-dual vortices in a non-Abelian Φ2 Chern―Simons theory

The existence of self-dual vortices in a non-Abelian Φ2 Chern―Simons theory

Applying the dynamic shooting method, we proved the existence of nontopological radially symmetric n-vortex solutions to the self-dual equation in non-Abelian Chern–Simons gauge theory with a Φ2-type potential. Moreover, we obtained all possible radially symmetric nontopological bare (or 0-vortex) s...

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Veröffentlicht in:Journal of mathematical physics 2010-09, Vol.51 (9)
Hauptverfasser: Chen, Shouxin, Wang, Ying
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
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Zusammenfassung:Applying the dynamic shooting method, we proved the existence of nontopological radially symmetric n-vortex solutions to the self-dual equation in non-Abelian Chern–Simons gauge theory with a Φ2-type potential. Moreover, we obtained all possible radially symmetric nontopological bare (or 0-vortex) solutions in the non-Abelian Chern–Simons model. Meanwhile, we established the asymptotic behavior for the solutions as |x|→∞.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3475796