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Wide class of logarithmic potentials with power-tower kink tails
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2020-07-26 , DOI: 10.1088/1751-8121/ab84ac
Avinash Khare 1 , Avadh Saxena 2
Affiliation  

We present a wide class of potentials which admit kinks and corresponding mirror kinks with either a power law or an exponential tail at the two extreme ends and a power-tower form of tails at the two neighbouring ends. We analyse kink stability equation in all these cases and show that there is no gap between the zero mode and the beginning of the continuum. Finally, we provide a recipe for obtaining logarithmic potentials with power-tower kink tails and estimate kink–kink interaction strength.

中文翻译:

带有动力塔扭结尾部的多种对数势

我们提出了各种各样的电位,它们允许扭结和相应的镜像扭结,在两个极端处具有幂律或指数尾巴,在两个相邻端具有动力塔形式的尾巴。我们分析了所有这些情况下的扭结稳定性方程,表明零模和连续体的开始之间没有间隙。最后,我们提供了获得具有动力塔扭结尾部的对数电位并估算扭结-扭结相互作用强度的方法。
更新日期:2020-07-27
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