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

Shouxin, Chen; Ying, Wang

doi:10.1063/1.3475796

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

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Abstract

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}.

Authors:

Shouxin, Chen ^[1]; Ying, Wang ^[1]

School of Mathematics, Henan University, Kaifeng, Henan 475004 (China)

Publication Date:: Wed Sep 15 00:00:00 EDT 2010

OSTI Identifier:: 21476497

Resource Type:: Journal Article

Journal Name:: Journal of Mathematical Physics

Additional Journal Information:: Journal Volume: 51; Journal Issue: 9; Other Information: DOI: 10.1063/1.3475796; (c) 2010 American Institute of Physics; Journal ID: ISSN 0022-2488

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ASYMPTOTIC SOLUTIONS; GAUGE INVARIANCE; PHI4-FIELD THEORY; POTENTIALS; SYMMETRY; VORTICES; FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY

Citation Formats


                    Shouxin, Chen, Institute of Contemporary Mathematics, Henan University, Kaifeng, Henan 475004, and Ying, Wang. The existence of self-dual vortices in a non-Abelian {Phi}{sup 2} Chern-Simons theory.  United States: N. p., 2010. 
        Web.  doi:10.1063/1.3475796.

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                    Shouxin, Chen, Institute of Contemporary Mathematics, Henan University, Kaifeng, Henan 475004, & Ying, Wang. The existence of self-dual vortices in a non-Abelian {Phi}{sup 2} Chern-Simons theory.  United States.  https://doi.org/10.1063/1.3475796

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                    Shouxin, Chen, Institute of Contemporary Mathematics, Henan University, Kaifeng, Henan 475004, and Ying, Wang. 2010.  
        "The existence of self-dual vortices in a non-Abelian {Phi}{sup 2} Chern-Simons theory".  United States.  https://doi.org/10.1063/1.3475796.

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@article{osti_21476497,

  title        = {The existence of self-dual vortices in a non-Abelian {Phi}{sup 2} Chern-Simons theory},

  author       = {Shouxin, Chen and Institute of Contemporary Mathematics, Henan University, Kaifeng, Henan 475004 and Ying, Wang},

  abstractNote = {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}.},

  doi          = {10.1063/1.3475796},

  url          = {https://www.osti.gov/biblio/21476497},
  journal      = {Journal of Mathematical Physics},

  issn         = {0022-2488},

  number       = 9,

  volume       = 51,

  place        = {United States},

  year         = {Wed Sep 15 00:00:00 EDT 2010},

  month        = {Wed Sep 15 00:00:00 EDT 2010}

}

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