Tachyonic Instability and Darboux Transformation
High Energy Physics - Theory
2007-05-23 v1
Abstract
Using Darboux transformation one can construct infinite family of potentials which lead to the flat spectrum of scalar field fluctuations with arbitrary multiple precision, and, at the same time, with "essentially blue" spectrum of perturbations of metric. Besides, we describe reconstruction problem: find classical potential V(phi) starting from the known "one-loop potential" u(t) = d^2V(phi(t))/d phi(t)^2.
Keywords
Cite
@article{arxiv.hep-th/0208075,
title = {Tachyonic Instability and Darboux Transformation},
author = {A. V. Yurov},
journal= {arXiv preprint arXiv:hep-th/0208075},
year = {2007}
}
Comments
9 pages