Topological defects with power-law tails

International Conference on Particle Physics and Astrophysics

物理学;天文学

Radomskiy, R.V.^1 ; Mrozovskaya, E.V.^1 ; Gani, V.A.^1,2 ; Christov, I.C.^3

National Research Nuclear University MEPhI, Moscow Engineering Physics Institute, Kashirskoe highway 31, Moscow

115409, Russia^1

National Research Centre Kurchatov Institute, Institute for Theoretical and Experimental Physics, Bolshaya Cheremushkinskaya str. 25, Moscow

117218, Russia^2

School of Mechanical Engineering, Purdue University, West Lafayette

IN

47907, United States^3

关键词: Exponential decays;    Power-law behavior;    Power-law tail;    Tail asymptotics;    Topological defect;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/798/1/012087/pdf
DOI  :  10.1088/1742-6596/798/1/012087

学科分类：天文学(综合)

来源: IOP

【 摘 要 】

We study interactions of kinks and antikinks of the (1 + 1)-dimensional φ8model. In this model, there are kinks with mixed tail asymptotics: power-law behavior at one infinity versus exponential decay towards the other. We show that if a kink and an antikink face each other in way such that their power-law tails determine the kink-antikink interaction, then the force of their interaction decays slowly, as some negative power of distance between them. We estimate the force numerically using the collective coordinate approximation, and analytically via Manton's method (making use of formulas derived for the kink and antikink tail asymptotics).