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Toroidal Soliton Solutions in O(3)^N Nonlinear Sigma Model

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.Comment: to be published in Mod. Phys. Lett.

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    Last time updated on 05/06/2019
    Last time updated on 27/12/2021