Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

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, Journal Name: Journal of Mathematical Physics Journal Issue: 9 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

Similar Records

Self-dual non-Abelian Chern-Simons solitons
Journal Article · Sun Feb 03 23:00:00 EST 1991 · Physical Review Letters; (USA) · OSTI ID:6044367

Non-Abelian Chern-Simons vortices
Journal Article · Mon Feb 19 23:00:00 EST 1996 · AIP Conference Proceedings · OSTI ID:21156230

The existence of nontopological vortices in a two-particle Chern-Simons system
Journal Article · Fri May 15 00:00:00 EDT 2009 · Journal of Mathematical Physics · OSTI ID:21294095