Kinks in higher derivative scalar field theory

Kinks in higher derivative scalar field theory
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高导数标量场理论中的扭结

DOI:
10.1016/j.physletb.2018.05.048
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发表时间:
2018-04
期刊:
影响因子:
4.4
通讯作者:
Liu Yu-Xiao
Liu Yu-Xiao
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Zhong Yuan;Guo Rong Zhen;Fu Chun E;Liu Yu-Xiao

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研究一类二维高导数标量场理论的静态扭结构型,其拉格朗日量包含场的二阶导数项。分析了任意静态扭结解周围的线性波动。我们发现线性谱可以用一个超对称量子力学问题来描述,并且可以解析地给出稳定静态解的判据。我们也构造了一个超势的形式来寻找解析的静态扭结解。使用这种形式,我们首先复制一些现有的解决方案,然后提供一个新的解决方案。研究了解的性质,并与已有解进行了比较。我们还证明了在高导数理论中构造类孪生模型的可能性,并给出了与正则标量场理论相对应的类孪生模型的一致性条件。
We study static kink configurations in a type of two-dimensional higher derivative scalar field theory whose Lagrangian contains second-order derivative terms of the field. The linear fluctuation around arbitrary static kink solutions is analyzed. We find that, the linear spectrum can be described by a supersymmetric quantum mechanics problem, and the criteria for stable static solutions can be given analytically. We also construct a superpotential formalism for finding analytical static kink solutions. Using this formalism we first reproduce some existed solutions and then offer a new solution. The properties of our solution is studied and compared with those preexisted. We also show the possibility in constructing twinlike model in the higher derivative theory, and give the consistency conditions for twinlike models corresponding to the canonical scalar field theory.
具有非最小耦合体标量场的厚膜
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