The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory

Sze Guang Yang; Zhi You Chen; Jann Long Chern

doi:10.1063/1.4994060

The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory

Sze Guang Yang, Zhi You Chen, Jann Long Chern^*

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

In this paper, a system of semilinear elliptic equations arising from a relativistic self-dual Maxwell-Chern-Simons O(3) sigma model is considered. We reveal the uniqueness aspect of the topological solutions for the model. The uniqueness result is associated with a clear solution structure of the equations of the radially symmetric case. We locate each solution set denoted by a planar diagram.

Original language	English
Article number	071503
Journal	Journal of Mathematical Physics
Volume	58
Issue number	7
DOIs	https://doi.org/10.1063/1.4994060
Publication status	Published - 2017 Jul 1
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4994060

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AB - In this paper, a system of semilinear elliptic equations arising from a relativistic self-dual Maxwell-Chern-Simons O(3) sigma model is considered. We reveal the uniqueness aspect of the topological solutions for the model. The uniqueness result is associated with a clear solution structure of the equations of the radially symmetric case. We locate each solution set denoted by a planar diagram.

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The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory

Abstract

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