Kinks from Dynamical Systems: Domain Walls in a Deformed O(N) Linear Sigma Model

Details Kinks from Dynamical Systems: Domain Walls in a Deformed O(N) Linear Sigma Model Kinks from Dynamical Systems: Domain Walls in a Deformed O(N) Linear Sigma Model

2000-03-24

arxiv.org/abs/hep-th/0003224v1

Nonlinearity 13 (2000) 1137-1169

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, 8 eps figures, LaTeX

Scientific paper

10.1088/0951-7715/13/4/309

It is shown how a integrable mechanical system provides all the localized static solutions of a deformation of the linear O(N)-sigma model in two space-time dimensions. The proof is based on the Hamilton-Jacobi separability of the mechanical analogue system that follows when time-independent field configurations are being considered. In particular, we describe the properties of the different kinds of kinks in such a way that a hierarchical structure of solitary wave manifolds emerges for distinct N.

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