In this ppaer, we study kink soliton configurations in interacting scalar field theories containing two fields without SO(2) invariance. We study a class of such theories, the well-known Montonen–Sarker–Trullinger–Bishop model is one of them. These models are interesting since the U(1) current is not conserved in them due to the presence of explicit symmetry breaking terms in the action. The existence of kink soliton configurations is shown in terms of a system of first-order ordinary differential equations. Although U(1) current in these models is nonconserved, our approach is general enough to study soliton configurations in a generic two interacting scalar field theory. We also discuss other benefits of this approach.

中文翻译：

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一类没有 SO(2) 不变性的相互作用标量场理论中的孤子

在本文中，我们研究了相互作用标量场理论中的扭结孤子配置，其中包含两个场小号○(2)不变性。我们研究了一类这样的理论，著名的Montonen-Sarker-Trullinger-Bishop模型就是其中之一。这些模型很有趣，因为ü(1)由于动作中存在明确的对称破坏项，电流在它们中不守恒。扭结孤子配置的存在用一阶常微分方程系统表示。虽然ü(1)这些模型中的电流是非守恒的，我们的方法足够通用，可以在通用的两个相互作用的标量场理论中研究孤子配置。我们还讨论了这种方法的其他好处。