Stability of Kink Defects in a Deformed O(3) Linear Sigma Model
A. Alonso Izquierdo, M. A. Gonzalez Leon, J. Mateos Guilarte
Abstract
We identify the kinks of a deformed O(3) linear Sigma model as the solutions of a set of first-order systems of equations; the above model is a generalization of the MSTB model with a three-component scalar field. Taking into account certain kink energy sum rules we show that the variety of kinks has the structure of a moduli space that can be compactified in a fairly natural way. The generic kinks, however, are unstable and Morse Theory provides the framework for the analysis of kink stability.
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