Topologically stable non-Abelian sine-Gordon solitons have been found recently in the U(N) chiral Lagrangian and a U(N) gauge theory with two N by N complex scalar fields coupled to each other. We construct the effective theory on a non-Abelian sine-Gordon soliton that is a nonlinear sigma model with the target space R×CPN-1. We then show that CPN-1 lumps on it represent SU(N) Skyrmions in the bulk point of view, providing a physical realization of the rational map ansatz for Skyrmions of the translational (Donaldson) type. We find therefore that Skyrmions can exist stably without the Skyrme term.
|ジャーナル||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|出版ステータス||Published - 2015 4 30|
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