Stability of Kink Defects in a Deformed O(3) Linear Sigma Model
Mathematical Physics
2009-11-07 v1 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0204041,
title = {Stability of Kink Defects in a Deformed O(3) Linear Sigma Model},
author = {A. Alonso Izquierdo and M. A. Gonzalez Leon and J. Mateos Guilarte},
journal= {arXiv preprint arXiv:math-ph/0204041},
year = {2009}
}
Comments
32 pages, 1 figure; to appear in Nonlinearity