具有高阶自相互作用的标量场模型中的扭结散射

IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Annals of Physics Pub Date : 2024-09-03 DOI:10.1016/j.aop.2024.169777
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引用次数: 0

摘要

研究了二维的高阶标量场模型,包括ϕ8 模型。研究表明,对于某些特殊情况下的电势极小值位置,可以找到显式扭结解。然而,在物理应用中,知道一个模型在任何极小位置的所有显式解是非常重要的。在本研究中,借助一些变形函数,我们证明了高阶标量场理论可以得到显式扭结解。特别是,我们引入了两个变形函数,当它们应用于众所周知的ϕ4和ϕ6模型时,分别产生了修正的ϕ8和ϕ10模型,它们所有的显式扭结解都取决于一个参数。由于该参数控制着势的极小值位置,我们在许多不同的情况下发现了有趣的新解。我们还研究了这两种新的修正模型的 "扭结 "质量、激发光谱行为和若干 "扭结"-"反扭结 "碰撞。碰撞结果由初始构型决定,特别是由 "扭结-反扭结 "和 "反扭结-扭结 "配对出现的顺序决定。另一个有趣的发现是共振窗口的抑制,这可能是由于模型中存在一组内部模式。
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Scattering of kinks in scalar-field models with higher-order self-interactions

Higher-order scalar field models in two dimensions, including the ϕ8 model, have been researched. It has been shown that for some special cases of the minima positions of the potential, the explicit kink solutions can be found. However, in physical applications, it is very important to know all the explicit solutions of a model for any minima position. In the present study, with the help of some deformation functions, we have shown that higher-order scalar field theories can be obtained with explicit kinks. In particular, we introduced two deformation functions that, when applied to the well known ϕ4 and ϕ6 models, produce modified ϕ8 and ϕ10 models, respectively, with all their explicit kink-like solutions which depend on a single parameter. Since this parameter controls the position of the minima of the potential, we have found interesting new solutions in many distinct cases. We have also studied the kink mass, the behavior of the excitation spectra and several kink-antikink collisions for these two new modified models. The collision outcome is determined by the initial configuration, specifically the sequence in which the kink-antikink and antikink-kink pairings emerge. Another interesting finding is the suppression of resonance windows, which may be explained by the presence of a set of internal modes in the model.

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来源期刊
Annals of Physics
Annals of Physics 物理-物理:综合
CiteScore
5.30
自引率
3.30%
发文量
211
审稿时长
47 days
期刊介绍: Annals of Physics presents original work in all areas of basic theoretic physics research. Ideas are developed and fully explored, and thorough treatment is given to first principles and ultimate applications. Annals of Physics emphasizes clarity and intelligibility in the articles it publishes, thus making them as accessible as possible. Readers familiar with recent developments in the field are provided with sufficient detail and background to follow the arguments and understand their significance. The Editors of the journal cover all fields of theoretical physics. Articles published in the journal are typically longer than 20 pages.
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