Q-balls in the regularized signum-Gordon model

Details Q-balls in the regularized signum-Gordon model Q-balls in the regularized signum-Gordon model

2009-11-17

arxiv.org/abs/0911.3423v1

Acta Phys.Polon.B41:629-648,2010

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 3 figures

Scientific paper

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.

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