论文标题
扭结与反京链接与双重尾巴之间的相互作用
Interaction between kinks and antikinks with double long-range tails
论文作者
论文摘要
我们探索了一类$ ϕ^{4n} $型号，这些模型具有扭结和抗Kinkink解决方案，这些解决方案在双方都有长距离的尾巴，专门针对$ n = 2 $和$ n = 3 $的情况。最近开发的加速扭结Ansatz的方法用于估计扭结和反京链链球的力量。我们使用最先进的数值方法来以有限的初始速度初始化系统以扭结 - 安替kink的配置来初始化系统，并根据运动方程来发展系统。在这些方法中，我们提出了一种有效的方法来初始化系统的速度场。有趣的是，我们发现，对于这类模型，$ ϕ^{4n} $带有$ n> 1 $，扭结 - 坦克克歼灭的行为与原型$ ϕ^4 $模型的行为不同，甚至没有一个远距离尾巴的扭结，因为既没有长期的bion bion形成窗户，也没有长期的bion bion winders windows windows windows windows windows windows windows and resonance winders and compary velocity and the Crigical velocity tor ult tor ult tor ulteraralarelativistic cisticativistictivistictivistictictivisticcitivicist。
We explore a class of $ϕ^{4n}$ models with kink and antikink solutions that have long-range tails on both sides, specializing to the cases with $n=2$ and $n=3$. A recently developed method of an accelerating kink ansatz is used to estimate the force between the kink and the antikink. We use state-of-the-art numerical methods to initialize the system in a kink-antikink configuration with a finite initial velocity and to evolve the system according to the equations of motion. Among these methods, we propose a computationally efficient way to initialize the velocity field of the system. Interestingly, we discover that, for this class of models, $ϕ^{4n}$ with $n>1$, the kink-antikink annihilation behaves differently from the archetypal $ϕ^4$ model or even the kinks with one long-range tail because there is neither long-lived bion formation nor resonance windows and the critical velocity is ultrarelativistic.
