| Full text | |
| Author(s): |
Ferreira, L. A.
;
Livramento, L. R.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | PHYSICAL REVIEW D; v. 106, n. 4, p. 17-pg., 2022-08-15. |
| Abstract | |
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) | |
| FAPESP's process: | 22/00808-7 - Gauge Theories and non-linear phenomena |
| Grantee: | Luiz Agostinho Ferreira |
| Support Opportunities: | Regular Research Grants |