论文标题
变形$φ^4 $和$φ^6 $模型中的扭结碰撞
Collisions of kinks in deformed $φ^4$ and $φ^6$ models
论文作者
论文摘要
讨论了两种双曲线形成的现场理论模型。在这两个中，由于特定变形函数对众所周知的$φ^4 $和$φ^6 $模型的影响，它们的内部结构可能会发生重大变化。与$φ^4 $ kinks解决方案不同，除了其翻译模式外，它仅具有一个内部模式，双曲线构造的$φ^4 $模型的扭结可以具有多种内部模式。此外，$φ^6 $模型上的变形具有其他有趣的功能，因为$φ^6 $模型的扭结仅具有零模式，并且变形可能会导致扭结和抗Kinkink的内部模式出现。新内部模式的存在修改了我们在本工作中探索的碰撞。变形依赖于控制内部模式数量的真实参数，我们还研究变形参数如何改变碰撞中扭结的质量和临界速度。
Two hyperbolic-deformed field theoretic models are discussed. In both of them, due to the effect of specific deformation function on the well known $φ^4$ and $φ^6$ models, their internal structure may change significantly. Unlike the $φ^4$ kinks solutions, which has only one internal mode in addition to its translational mode, the kinks of the hyperbolic-deformed $φ^4$ model can have several internal modes. Moreover, the deformation on the $φ^6$ model has other interesting features, because the kinks of the $φ^6$ model have only a zero mode and the deformation may cause the appearance of internal mode for both kink and antikink. The presence of the new internal modes modify the collisions which we explore in the present work. The deformation relies on a real parameter, which controls the number of internal modes, and we also study how the deformation parameter alter the mass of the kinks and the critical velocities involved in the collisions.
