Variational formalism for the Klein-Gordon oscillon
High Energy Physics - Theory
2023-11-01 v1
Abstract
The variational method employing the amplitude and width as collective coordinates of the Klein-Gordon oscillon leads to a dynamical system with unstable periodic orbits that blow up when perturbed. We propose a multiscale variational approach free from the blow-up singularities. An essential feature of the proposed trial function is the inclusion of the third collective variable: a correction for the nonuniform phase growth. In addition to determining the parameters of the oscillon, our approach detects the onset of its instability.
Cite
@article{arxiv.2310.20345,
title = {Variational formalism for the Klein-Gordon oscillon},
author = {I. V. Barashenkov and N. V. Alexeeva},
journal= {arXiv preprint arXiv:2310.20345},
year = {2023}
}
Comments
10 pages, 4 figures