vix.ing · top · new · best · stats · spec

Tachyonic Instability and Darboux Transformation

2002/08/10 by A. V. Yurov, Yurov, A. V.
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Geomagnetism and Paleomagnetism Studies #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0208075

9 pages

arxiv created 2002/08/10 · openalex publication_date 2002/08/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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) = d2V(phi(t))/d phi(t)2.

Citations

Related