English

Q-balls in the regularized signum-Gordon model

High Energy Physics - Theory 2010-09-16 v1

Abstract

The regularized signum-Gordon potential has a smooth minimum and is linear in the modulus of the field value for higher amplitudes. The Q-ball solutions in this model are investigated. Their existence for charges large enough is demonstrated. In three dimensions numerical solutions are presented and the absolute stability of large Q-balls is proved. It is also shown, that the solutions of the regularized model approach uniformly the solution of the unregularized signum-Gordon model. From the stability of Q-balls in the regularized model follows the stability of the solutions in the original theory.

Keywords

Cite

@article{arxiv.0911.3423,
  title  = {Q-balls in the regularized signum-Gordon model},
  author = {Jakub Lis},
  journal= {arXiv preprint arXiv:0911.3423},
  year   = {2010}
}

Comments

17 pages, 3 figures

R2 v1 2026-06-21T14:12:57.671Z