The non-topological fluxes of a two-particle system in the Chern-Simons theory

Jann Long Chern; Sze Guang Yang

doi:10.1016/j.jde.2014.02.006

The non-topological fluxes of a two-particle system in the Chern-Simons theory

Jann Long Chern^*
, Sze Guang Yang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In the paper, a planar relativistic self-dual Chern-Simons model, with two Higgs particles and two gauge fields is considered. The main purpose is to locate all the possible values of the magnetic fluxes for the radially symmetric non-topological solitons. As has been known, the non-topological fluxes are not quantized. We further show that the value set of the non-topological fluxes exactly form a planar continuum portrayed by a certain hyperbolic region.

Original language	English
Pages (from-to)	3417-3439
Number of pages	23
Journal	Journal of Differential Equations
Volume	256
Issue number	10
DOIs	https://doi.org/10.1016/j.jde.2014.02.006
Publication status	Published - 2014 May 15
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2014.02.006

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abstract = "In the paper, a planar relativistic self-dual Chern-Simons model, with two Higgs particles and two gauge fields is considered. The main purpose is to locate all the possible values of the magnetic fluxes for the radially symmetric non-topological solitons. As has been known, the non-topological fluxes are not quantized. We further show that the value set of the non-topological fluxes exactly form a planar continuum portrayed by a certain hyperbolic region.",

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note = "Funding Information: Work partially supported by National Science Council of Taiwan . ",

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AU - Yang, Sze Guang

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Y1 - 2014/5/15

N2 - In the paper, a planar relativistic self-dual Chern-Simons model, with two Higgs particles and two gauge fields is considered. The main purpose is to locate all the possible values of the magnetic fluxes for the radially symmetric non-topological solitons. As has been known, the non-topological fluxes are not quantized. We further show that the value set of the non-topological fluxes exactly form a planar continuum portrayed by a certain hyperbolic region.

AB - In the paper, a planar relativistic self-dual Chern-Simons model, with two Higgs particles and two gauge fields is considered. The main purpose is to locate all the possible values of the magnetic fluxes for the radially symmetric non-topological solitons. As has been known, the non-topological fluxes are not quantized. We further show that the value set of the non-topological fluxes exactly form a planar continuum portrayed by a certain hyperbolic region.

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JO - Journal of Differential Equations

JF - Journal of Differential Equations

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ER -

The non-topological fluxes of a two-particle system in the Chern-Simons theory

Abstract

ASJC Scopus subject areas

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