Topological solitons in the sigma-cuscuton model

F. C. E. Lima; C. A. S. Almeida

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arXiv · 2301.01397

Topological solitons in the sigma-cuscuton model

F. C. E. Lima·C. A. S. Almeida

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Abstract

Building a multi-field theory with canonical and non-canonical contributions, one studies the topological solitons of the O(3)-sigma model. We propose a model constituted by the O(3)-sigma field, the cuscuton-like neutral scalar field, and Maxwell's field. We investigate BPS properties considering a theory without interaction. One performs this study by adopting the first-order formalism in a model with contribution non-canonical. Thus, these contributions will preserve the spontaneous symmetry breaking of the system. Concurrently, a non-minimal coupling between the sigma and the Maxwell field is assumed. In this scenario, interesting results arise, i.e., one notes that the solitons have an internal structure and ring-like profile. Furthermore, one observes that the ring-like configurations that emerge are directly related to the contribution of the cuscuton-like term.

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F. C. E. Lima, C. A. S. Almeida. 2023-01-04. Topological solitons in the sigma-cuscuton model. https://arxiv.org/abs/2301.01397

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