标题： 具有质量的非线性${\mathbb S}^1\times{\mathbb S}^1$-Sigma 模型中的孤子 显示英文标题

标题： Kinks in massive non-linear ${\mathbb S}^1\times{\mathbb S}^1$-Sigma models

摘要： 本文中，我们解析计算了出现在几个目标空间为环面 ${\mathbb S}^1\times{\mathbb S}^1$ 的质量非线性 Sigma 模型中的全部孤立波解。这种可能性基于将 Bogomolny 方法适应到非欧几里得空间以构造一阶微分方程。在这些解的族中，发现了连接相同真空的非拓扑孤立波。这类解通常被认为在全球意义上不稳定。然而，在此上下文中，由目标空间的非单连通性产生的拓扑约束使这些非拓扑孤立波成为全局稳定的解。方程的解析求解允许对一些基本孤立波进行全面的线性稳定性研究。 显示英文摘要

摘要： In this paper the whole kink varieties arising in several massive non-linear Sigma models whose target space is the torus ${\mathbb S}^1\times{\mathbb S}^1$ are analytically calculated. This possibility underlies the construction of first-order differential equations by adapting the Bogomolny procedure to non-Euclidean spaces. Among the families of solutions non-topological kinks connecting the same vacuum are found. This class of solutions are usually considered to be not globally stable. However, in this context the topological constraints obtained by the non-simply connectedness of the target space turn these non-topological kinks into globally stable solutions. The analytical resolution of the equations allows the complete study of the linear stability for some basic kinks.