Toroidal Soliton Solutions in O(3)^N Nonlinear Sigma Model
Mathematical Physics
2009-11-10 v2 math.MP
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.
Cite
@article{arxiv.math-ph/0405054,
title = {Toroidal Soliton Solutions in O(3)^N Nonlinear Sigma Model},
author = {A. Wereszczynski},
journal= {arXiv preprint arXiv:math-ph/0405054},
year = {2009}
}
Comments
to be published in Mod. Phys. Lett. A