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Kink scattering in a generalized Wess-Zumino model
Communications in Nonlinear Science and Numerical Simulation ( IF 3.9 ) Pub Date : 2021-08-23 , DOI: 10.1016/j.cnsns.2021.106011
A. Alonso-Izquierdo 1, 2 , M.A. González León 1, 2 , J. Martín Vaquero 1, 2 , M. de la Torre Mayado 2, 3
Affiliation  

In this paper, kink scattering in the dimensional reduction of the bosonic sector of a one-parameter family of generalized Wess-Zumino models with three vacuum points is discussed. The value of the model parameter determines the specific location of the vacua. The influence of the vacuum arrangements (evolving from three collinear vacua to three vacua placed at the vertices of an equilateral triangle) on the kink scattering is investigated. Two different regimes can be distinguished: in the first one, two symmetric BPS kinks/antikinks arise whereas in the second one a new different BPS kink/antikink emerges, with the exception of a three-fold rotational symmetry case, where the three topological defects are identical. The scattering between the two symmetric kinks is thoroughly analyzed. Two different scattering channels have been found: kink-kink reflection and kink-kink hybridization. In the last case, the collision between the two symmetric kinks gives rise to the third different kink. Resonance phenomena also appear allowing a vibrating kink to split into two symmetric kinks moving away.



中文翻译:

广义 Wess-Zumino 模型中的扭结散射

在本文中,讨论了具有三个真空点的广义 Wess-Zumino 模型的一参数族的玻色扇区降维中的扭结散射。模型参数的值决定了真空的具体位置。研究了真空布置(从三个共线真空演变为三个位于等边三角形顶点的真空)对扭结散射的影响。可以区分两种不同的状态:在第一个中,出现了两个对称的 BPS 扭结/反扭结,而在第二个中,出现了新的不同的 BPS 扭结/反扭结,除了三重旋转对称情况,其中三个拓扑缺陷是相同的。彻底分析了两个对称扭结之间的散射。已发现两种不同的散射通道:扭结-扭结反射扭结-扭结杂交。在最后一种情况下,两个对称扭结之间的碰撞会产生第三个不同的扭结。共振现象也出现,允许振动扭结分裂成两个对称的扭结移开。

更新日期:2021-08-29
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