论文标题
扭结尾巴的变形
Deformations of Kink Tails
论文作者
论文摘要
我们研究了与变形程序相关的扭结的渐近特性。我们表明,根据现场理论模型的变形,扭结的渐近学可能会改变或保持不变,具体取决于变形函数的属性。考虑了显式和隐式纠结的情况。此外,我们表明,变形过程可以应用于隐式纠结的重要情况。我们还证明,对于任何具有幂律尾部的扭结,稳定电势都会随着坐标的反向而降低。讨论了变形的物理后果:扭结质量的变化以及扭结力的渐近行为。
We study the asymptotic properties of kinks in connection with the deformation procedure. We show that, upon deformation of the field-theoretic model, the asymptotics of kinks can change or remain unchanged, depending on the properties of the deforming function. The cases of both explicit and implicit kinks are considered. In addition, we show that the the deformation procedure can be applied to the important case of implicit kinks. We also prove that for any kink with a power-law tail, the stability potential decreases as the inverse square of the coordinate. The physical consequences of the deformation are discussed: the change of the kink mass, as well as the asymptotic behavior of the kink-antikink force.