New soluble nonlinear models for scalar fields
High Energy Physics - Theory
2007-05-23 v2 High Energy Physics - Phenomenology
Exactly Solvable and Integrable Systems
Abstract
We extend a deformation prescription recently introduced and present some new soluble nonlinear problems for kinks and lumps. In particular, we show how to generate models which present the basic ingredients needed to give rise to "dimension bubbles," having different macroscopic space dimensions on the interior and the exterior of the bubble surface. Also, we show how to deform a model possessing lumplike solutions, relevant to the discussion of tachyonic excitations, to get a new one having topological solutions.
Cite
@article{arxiv.hep-th/0308084,
title = {New soluble nonlinear models for scalar fields},
author = {C. A. Almeida and D. Bazeia and L. Losano and J. M. C. Malbouisson},
journal= {arXiv preprint arXiv:hep-th/0308084},
year = {2007}
}
Comments
12 pages, 3 figures, Eq.(25) corrected, Fig.3 changed, comments added