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Title: The existence of nontopological vortices in a two-particle Chern-Simons system

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.3124768· OSTI ID:21294095
 [1]
  1. Department of Mathematics, National Taiwan University, Taipei 10617, Taiwan (China)

In this article, a planar relativistic self-dual Chern-Simons model with two Higgs particles and two gauge fields is considered. The main purpose is to show the existence of the nontopological multivortex solutions to the system from a mathematical perspective. Specifically, a certain type of nontopological solutions can be constructed by means of an approach of perturbation from the radially symmetric solutions of a Liouville system. These radial Liouville solutions are well depicted in terms of their asymptotic behavior prescribed at infinity. Accordingly, the values of charges and energy in response to the resulting nontopological solutions accumulate in the way that the Liouville solutions are characterized.

OSTI ID:
21294095
Journal Information:
Journal of Mathematical Physics, Vol. 50, Issue 5; Other Information: DOI: 10.1063/1.3124768; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

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