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Quasi-self-dual Skyrme model

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Autor(es):
Ferreira, L. A. ; Livramento, L. R.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW D; v. 106, n. 4, p. 17-pg., 2022-08-15.
Resumo

A modification of the Skyrme model has been recently proposed, which admits an exact self-dual sector by the introduction of six scalar fields assembled in a symmetric, positive, and invertible 3 x 3 matrix h. In this paper we study soft manners of breaking the self-duality of that model. The crucial observation is that the self-duality equations impose distinct conditions on the three eigenvalues of h, and on the three fields lying in the orthogonal matrix that diagonalizes h. We keep the self-duality equations for the latter, and break those equations associated to the eigenvalues. We perform the breaking by the addition of kinetic and potential terms for the h fields, and construct numerical solutions using the gradient flow method to minimize the static energy. It is also shown that the addition of just a potential term proportional to the determinant of h leads to a model with an exact self-dual sector and with self-duality equations differing from the original ones by just an additional coupling constant. (AU)

Processo FAPESP: 22/00808-7 - Teorias de Gauge e fenômenos não-lineares
Beneficiário:Luiz Agostinho Ferreira
Modalidade de apoio: Auxílio à Pesquisa - Regular