k-缺陷作为双光子
k-defects as compactons
摘要：
我们认为，如果$k$ -场，即，场与非标准的动力学项，被认为是通过显示，即使是具有良好的表现潜力的模型的不寻常的动力部分可能会导致一个类似的功率接近真空，这是一个典型的信号的存在的光子。相关的近似标度对称性以及自相似解的存在性也进行了讨论。作为一个例子，我们讨论了一个额外的四次项，这只是标准的二次幂项的潜在Skyrme模型的域壁。我们证明了在临界情况下，当忽略二次项时，我们得到了所谓的四次$ϕ^4$模型，并且相应的拓扑缺陷变成了一个子。类似地，四次正弦戈登-牛顿也被导出。最后，我们建立了拓扑半拓扑子的存在性，并研究了它们的性质。
英文摘要：
We argue that topological compactons (solitons with compact support) may be quite common objects if $k$-fields, i.e., fields with nonstandard kinetic term, are considered, by showing that even for models with well-behaved potentials the unusual kinetic part may lead to a power-like approach to the vacuum, which is a typical signal for the existence of compactons. The related approximate scaling symmetry as well as the existence of self-similar solutions are also discussed. As an example, we discuss domain walls in a potential Skyrme model with an additional quartic term, which is just the standard quadratic term to the power two. We show that in the critical case, when the quadratic term is neglected, we get the so-called quartic $ϕ^4$ model, and the corresponding topological defect becomes a compacton. Similarly, the quartic sine-Gordon compacton is also derived. Finally, we establish the existence of topological half-compactons and study their properties.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
