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Slepian models for Gaussian random landscapes.
- Source :
-
Journal of High Energy Physics . May2020, Vol. 2020 Issue 5, p1-47. 47p. - Publication Year :
- 2020
-
Abstract
- Phenomenologically interesting scalar potentials are highly atypical in generic random landscapes. We develop the mathematical techniques to generate constrained random potentials, i.e. Slepian models, which can globally represent low-probability realizations of the landscape. We give analytical as well as numerical methods to construct these Slepian models for constrained realizations of a full Gaussian random field around critical as well as inflection points. We use these techniques to numerically generate in an efficient way a large number of minima at arbitrary heights of the potential and calculate their non-perturbative decay rate. Furthermore, we also illustrate how to use these methods by obtaining statistical information about the distribution of observables in an inflationary inflection point constructed within these models. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RANDOM fields
*STATISTICS
*STOCHASTIC processes
*INFLECTION (Grammar)
Subjects
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2020
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 143861642
- Full Text :
- https://doi.org/10.1007/JHEP05(2020)142