Q-balls in the regularized signum-Gordon model

Jakub Lis

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arXiv · 0911.3423

Q-balls in the regularized signum-Gordon model

Jakub Lis

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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.

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Jakub Lis. 2009-11-17. Q-balls in the regularized signum-Gordon model. https://arxiv.org/abs/0911.3423

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