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arXiv 1909.02170hep-th
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广义$O(3)$ -sigma Chern-Simons模型的一类新解

New class of solutions of a generalized $O(3)$-sigma Chern-Simons model

F. C. E. Lima, D. M. Dantas, C. A. S. Almeida

摘要:

本文研究了O(3)-西格玛模型中的类牛顿组态的存在性.本文考虑一个具有广义Chern-Simons项的规范场的极小耦合O(3)-西格玛模型.相反,在文献中建立的,我们施加一组新的边界条件,我们发现的解决方案的可变字段和各自的能量密度在Bogomol'nyi限制。另一方面,在Chern-Simons项中引入一个参数$ω$,可以调整到模型的有限能量解。此外,利用该$ω$广义Chern-Simons项的演化研究了类紧致结构.

英文摘要:

In this work, we investigated the existence of compacton-like configuration in the O(3)-sigma model. We consider a minimally coupled O(3)-sigma model with a gauge field governed by a generalized Chern-Simons term. Contrary to that established in the literature, we impose a new set of boundary conditions and, we find solutions of the variable fields and the respective energy density in the Bogomol'nyi limit. On the other hand, the introduction of a parameter $ω$ in the Chern-Simons term can be adjusted to leads to finite-energy solutions of the model. Moreover, compact-like structures were studied with the evolution of this $ω$ generalized Chern-Simons term.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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