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Title: The existence of self-dual vortices in a non-Abelian {Phi}{sup 2} Chern-Simons theory

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.3475796· OSTI ID:21476497
 [1];  [1]
  1. School of Mathematics, Henan University, Kaifeng, Henan 475004 (China)

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 {Phi}{sup 2}-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|{yields}{infinity}.

OSTI ID:
21476497
Journal Information:
Journal of Mathematical Physics, Vol. 51, Issue 9; Other Information: DOI: 10.1063/1.3475796; (c) 2010 American Institute of Physics; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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