论文标题
高阶现场理论中的明确扭结
Explicit kinks in higher-order field theories
论文作者
论文摘要
我们研究了具有八度多项式电位的高阶现场理论模型的示例 - $φ^8 $模型。我们表明，对于潜力的某种一定比例，在$（1+1）$ - 维度时空时以降低了求解代数方程的问题的问题。对于确定真空位置的两个不同比率的常数，我们获得了所有拓扑领域中扭结的明确公式。还研究了所获得的扭结的特性 - 计算它们的质量，并发现可能导致扭结 - 坦克克散射中谐振现象出现的激发光谱。
We study an example of higher-order field-theoretic model with an eighth-degree polynomial potential -- the $φ^8$ model. We show that for some certain ratios of constants of the potential, the problem of finding kink-type solutions in $(1+1)$-dimensional space-time reduces to solving algebraic equations. For two different ratios of the constants, which determine positions of the vacua, we obtained explicit formulas for kinks in all topological sectors. The properties of the obtained kinks are also studied -- their masses are calculated, and the excitation spectra which could be responsible for the appearance of resonance phenomena in kink-antikink scattering are found.
