$U(1)$ gauged non-topological solitons in the 3+1 dimensional $O(3)$ sigma-model

Luiz A. Ferreira; Aliaksei Mikhaliuk; Yakov Shnir

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arXiv · 2503.06315

$U(1)$ gauged non-topological solitons in the 3+1 dimensional $O(3)$ sigma-model

Luiz A. Ferreira·Aliaksei Mikhaliuk·Yakov Shnir

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Abstract

We present and study new non-topological soliton solutions in the $U(1)$ gauged non-linear $O(3)$ sigma model with a symmetry breaking potential in 3+1 dimensional flat space-time. The configurations are endowed with an electric and magnetic field and also carry a nonvanishing angular momentum density. We discuss properties of these solitons and investigate the domains of their existence.

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Luiz A. Ferreira, Aliaksei Mikhaliuk, Yakov Shnir. 2025-03-08. $U(1)$ gauged non-topological solitons in the 3+1 dimensional $O(3)$ sigma-model. https://arxiv.org/abs/2503.06315

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