The solution structure of the \(\mathrm{O}(3)\) sigma model in a Maxwell-Chern-Simons theory. (English) Zbl 1423.81134
Summary: In this paper, a system of semilinear elliptic equations arising from a relativistic self-dual Maxwell-Chern-Simons \(\mathrm{O}(3)\) 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.{
©2017 American Institute of Physics}
©2017 American Institute of Physics}
MSC:
| 81T13 | Yang-Mills and other gauge theories in quantum field theory |
| 35J61 | Semilinear elliptic equations |
References:
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