Электронный каталог

Статья

Ferreira, L.A.
Quasi-Self-Dual Skyrme Model / L.A.Ferreira, L.R.Livramento // Physical Review D [Electronic resource]. – 2022. – Vol.106, No.4. – p.045003. – URL: https://doi.org/10.1103/PhysRevD.106.045003. – Bibliogr.:21.

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 3×3 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.



ОИЯИ = ОИЯИ (JINR)2022
Спец.(статьи,препринты) = С 323.5 - Теория взаимодействия частиц при высоких энергиях$
Бюллетени = 01/023