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

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

2002-05-20

arxiv.org/abs/hep-th/0205195v6

Int.J.Mod.Phys.A22:731-748,2007

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217751X07034994

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.

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