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3 Sigma - DOAJ

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Last Updated: 10 June 2022

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Instanton effects vs resurgence in the O(3) sigma model

"We investigate the ground-state energy of the integrable two-dimensional O sigma model in a magnetic field. " We then compare its median return to the precise integral equation's high precision numerical solution of the exact integral equation with the highest precision numerical solution, finding that the leading exponentially reduced contribution is not related to the perturbative coefficients' asymptotics.

Source link: https://doi.org/10.1016/j.physletb.2022.137073


New class of solutions in the non-minimal O(3)-sigma model

"The solutions of the topological sector of the real scalar field for a particular ansatz are outlined by the well-known kink solutions. " We found that in the research of mixed models, namely, the topological segment of the O-sigma model coupled to the topological sector of the real scalar field, the vortex solutions assume a profile of a step function. When kinks of the topological branch of the scalar field are discussing with the field of the sigma model, it makes the O-sigma model's field solutions extremely localized, making the vortice structures non-physical. ".

Source link: https://doi.org/10.1016/j.physletb.2022.137042

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* Please keep in mind that all text is summarized by machine, we do not bear any responsibility, and you should always check original source before taking any actions