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.
Cite
@article{arxiv.hep-th/0205195,
title = {Stability Equation and Two-Component Eigenmode for Domain Walls in a Scalar Potential Model},
author = {G. S. Dias and E. L. Graça and R. de Lima Rodrigues},
journal= {arXiv preprint arXiv:hep-th/0205195},
year = {2011}
}
Comments
Revised version. Revtex, 4 figures, 22 pages, to appear in International Journal of Modern Physics, Vol. 21 (2006)