# Class of exact solutions of the Faddeev model

@article{Hirayama2003ClassOE,
title={Class of exact solutions of the Faddeev model},
author={Minoru Hirayama and Chang-Guang Shi},
journal={Physical Review D},
year={2003},
volume={69},
pages={045001}
}
• Published 6 October 2003
• Physics
• Physical Review D
A class of exact solutions of the Faddeev model, that is, the modified $\mathrm{SO}(3)$ nonlinear $\ensuremath{\sigma}$ model with the Skyrme term, is obtained in four dimensional Minkowskian spacetime. The solutions are interpreted as the isothermal coordinates of a Riemannian surface. One special solution of the static vortex type is investigated numerically. It is also shown that the Faddeev model is equivalent to the mesonic sector of the $\mathrm{SU}(2)$ Skyrme model where the baryon…
8 Citations

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