The analysis of solutions for Maxwell–Chern–Simons O(3) sigma model

In this paper, we prove the uniqueness of topological solutions for the self-dual Maxwell–Chern–Simons O (3) sigma model under the conditions on Chern–Simons coupling parameter and the charge of electron. Besides, we also provide the quantitative analysis of radial solutions of all types for single...

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Bibliographic Details
Published in:Calculus of variations and partial differential equations 2019-08, Vol.58 (4), p.1-27, Article 147
Main Authors: Chen, Zhi-You, Chern, Jann-Long
Format: Article
Language:English
Subjects:
Analysis
Calculus of Variations and Optimal Control
Optimization
Control
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Quantitative analysis
Systems Theory
Theoretical
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Summary:In this paper, we prove the uniqueness of topological solutions for the self-dual Maxwell–Chern–Simons O (3) sigma model under the conditions on Chern–Simons coupling parameter and the charge of electron. Besides, we also provide the quantitative analysis of radial solutions of all types for single vortex-point case.
ISSN:0944-2669
1432-0835
DOI:10.1007/s00526-019-1590-4