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

A. Alonso Izquierdo·M. A. Gonzalez Leon·J. Mateos Guilarte
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Abstract

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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A. Alonso Izquierdo, M. A. Gonzalez Leon, J. Mateos Guilarte. 2000-03-24. Kinks from Dynamical Systems: Domain Walls in a Deformed O(N) Linear Sigma Model. https://doi.org/10.1088/0951-7715%2F13%2F4%2F309

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