Stability Equation and Two-Component Eigenmode for Domain Walls in a Scalar Potential Model

Abstract

The connection between the supersymmetric quantum mechanics involving two-component eigenfunctions and the stability equation associated with two classical configurations is investigated, and a matrix superpotential is deduced. The issue of stability is ensured for the Bogomol'nyi-Prasad-Sommerfield (BPS) states on two domain walls in a scalar potential model containing up to fourth-order powers in the fields, which is explicit demonstrated using the intertwining operators in terms of 2x2-matrix superpotential in the algebraic framework of supersymmetry in quantum mechanics. Also, a non-BPS state is found to be non-stable via fluctuation hessian matrix.

arXiv commentRevised version. Revtex, 4 figures, 22 pages, to appear in International Journal of Modern Physics, Vol. 21 (2006)

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Cited by in corpus (5)

• Kink dynamics in a system of two coupled scalar fields in two space-time dimensions
• Non-topological kink scattering in a two-component scalar field theory model
• Hierarchy of QM SUSYs on a Bounded Domain
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials
• On Matrix Superpotential and Three-Component Normal Modes