Toroidal Soliton Solutions in O(3)^N Nonlinear Sigma Model
arXiv:math-ph/0405054 · doi:10.1142/S0217732304015737
Abstract
A set of N three component unit scalar fields in (3+1) Minkowski space-time is investigated. The highly nonlinear coupling between them is chosen to omit the scaling instabilities. The multi-soliton static configurations with arbitrary Hopf numbers are found. Moreover, the generalized version of the Vakulenko-Kapitansky inequality is obtained. The possibility of attractive, repulsing and noninteracting channels is discussed.
to be published in Mod. Phys. Lett. A