Exploring the vicinity of the Bogomol'nyi-Prasad-Sommerfield bound

Details Exploring the vicinity of the Bogomol'nyi-Prasad-Sommerfield bound Exploring the vicinity of the Bogomol'nyi-Prasad-Sommerfield bound

2001-03-20

arxiv.org/abs/hep-th/0103166v1

J.Phys.A34:3351-3362,2001

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 9 pages, To be published in J. Phys. A

Scientific paper

10.1088/0305-4470/34/16/302

We investigate systems of real scalar fields in bidimensional spacetime, dealing with potentials that are small modifications of potentials that admit supersymmetric extensions. The modifications are controlled by a real parameter, which allows implementing a perturbation procedure when such parameter is small. The approach allows obtaining the energy and topological charge in closed forms, up to first order in the parameter. We illustrate the procedure with some examples. In particular, we show how to remove the degeneracy in energy for the one-field and the two-field solutions that appear in a model of two real scalar fields.

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