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08 February 2025
 
  » arxiv » 2301.01397

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Vortex in the vacuumless sigma-cuscuton-like model
F. C. E. Lima ; C. A. S. Almeida ;
Date 4 Jan 2023
AbstractBuilding a multi-field theory with canonical and non-canonical contributions, one studies the vortex configurations of the O(3)-sigma model. We propose a model constituted by an O(3)-sigma field, a cuscuton-like neutral scalar field, and Maxwell’s field. We investigate BPS properties considering a vacuumless theory using first-order formalism. Although the theory does not have a vacuum, in each topological sector, there will be. Thus, in each topological sector, the spontaneous symmetry breaking is preserved. Concurrently, a non-minimal coupling between the sigma field and the Maxwell field is assumed. In this scenario, interesting results arise, i. e., one notes that the vortices have an internal structure and ring-like profile. Furthermore, one observes that the ring-like vortex profiles that emerge are directly related to the contribution of the cuscuton-like term.
Source arXiv, 2301.01397
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