论文标题
在两个组件标量场理论中摇摆扭结：形状模式之间的相互作用
Wobbling kinks in a two-component scalar field theory: Interaction between shape modes
论文作者
论文摘要
在本文中，研究了两组分MSTB标量磁场理论模型的摇摆扭结的形状模式之间的相互作用。在该模型中，二阶小扭结波动的光谱具有与纵向和正交波动相关的两个局部振动模式。已经发现，正交形状模式的激发立即触发了纵向形状。在第一个组件通道中，扭结以正交摇摆频率（不是$ ϕ^4 $ -MODEL中发生的纵向旋转频率）的两倍（不是纵向旋转频率）发出的。第二个组件中发出的辐射具有两个主要频率：一个是正交摇摆模式的频率的三倍，另一个是纵向和正交振动模式的频率之和。使用扰动扩展理论对此功能进行分析解释。
In this paper the interaction between the shape modes of the wobbling kinks arising in the family of two-component MSTB scalar field theory models is studied. The spectrum of the second order small kink fluctuation in this model has two localized vibrational modes associated to longitudinal and orthogonal fluctuations with respect to the kink orbit. It has been found that the excitation of the orthogonal shape mode immediately triggers the longitudinal one. In the first component channel the kink emits radiation with twice the orthogonal wobbling frequency (not the longitudinal one as happens in the $ϕ^4$-model). The radiation emitted in the second component has two dominant frequencies: one is three times the frequency of the orthogonal wobbling mode and the other is the sum of the frequencies of the longitudinal and orthogonal vibration modes. This feature is explained analytically using perturbation expansion theories.
