Force between Kinks with Long-range Tails
High Energy Physics - Theory
2018-10-09 v2
Abstract
In a scalar field theory that has a symmetric octic potential with a quartic minimum and two quadratic minima, kink and mirror kink solutions have long-range tails. We calculate the force between these kinks when their long-range tails overlap. This is a nonlinear problem, solved using an adiabatic ansatz for the accelerating kinks that leads to a modified, first-order Bogomolny equation. We find the force is repulsive and decays with the fourth power of the kink separation.
Cite
@article{arxiv.1810.00788,
title = {Force between Kinks with Long-range Tails},
author = {N. S. Manton},
journal= {arXiv preprint arXiv:1810.00788},
year = {2018}
}
Comments
16 pages. Revised version, including correction to eq.(16) and related text