Tachyonic Instability and Darboux Transformation

Details Tachyonic Instability and Darboux Transformation Tachyonic Instability and Darboux Transformation

2002-08-10

arxiv.org/abs/hep-th/0208075v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

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.

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