2002/04/22 by A. Alonso-Izquierdo, A. Alonso Izquierdo, M. A. González León +2
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear system #Physics #Pure mathematics #Quantum mechanics #Sigma #Sigma model #Stability (learning theory) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/0951-7715/15/4/308
published as Nonlinearity 15 (2002) 1097-1125 · 32 pages, 1 figure; to appear in Nonlinearity
arxiv created 2002/04/22 · openalex publication_date 2002/05/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.