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Local random potentials of high differentiability to model the Landscape

DSpace at IIT Bombay

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Title Local random potentials of high differentiability to model the Landscape
 
Creator BATTEFELD, T
MODI, C
 
Subject RANDOM MATRICES
STRING THEORY
INFLATION
PERTURBATIONS
EIGENVALUES
string theory and cosmology
initial conditions and eternal universe
inflation
 
Description We generate random functions locally via a novel generalization of Dyson Brownian motion, such that the functions are in a desired differentiability class C-k, while ensuring that the Hessian is a member of the Gaussian orthogonal ensemble (other ensembles might be chosen if desired). Potentials in such higher differentiability classes (k >= 2) are required/desirable to model string theoretical landscapes, for instance to compute cosmological perturbations (e.g., k = 2 for the power-spectrum) or to search for minima (e.g., suitable de Sitter vacua for our universe). Since potentials are created locally, numerical studies become feasible even if the dimension of field space is large (D similar to 100). In addition to the theoretical prescription, we provide some numerical examples to highlight properties of such potentials; concrete cosmological applications will be discussed in companion publications.
 
Publisher IOP PUBLISHING LTD
 
Date 2016-01-15T08:22:13Z
2016-01-15T08:22:13Z
2015
 
Type Article
 
Identifier JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS(3)
1475-7516
http://dx.doi.org/10.1088/1475-7516/2015/03/010
http://dspace.library.iitb.ac.in/jspui/handle/100/18153
 
Language en