%0 Journal Article
%A Pedro, Francisco
%A Westphal, Alexander
%T Inflation with a Graceful Exit in a Random Landscape
%J Journal of high energy physics
%V 2017
%N 3
%@ 1029-8479
%C Berlin
%I Springer
%M PUBDB-2017-01557
%M IFT-UAM-CSIC-16-128 DESY-16-224
%M arXiv:1611.07059
%P 163
%D 2017
%X We develop a stochastic description of small-field inationary histories witha graceful exit in a random potential whose Hessian is a Gaussian random matrix as amodel of the unstructured part of the string landscape. The dynamical evolution in sucha random potential from a small-field ination region towards a viable late-time de Sitter(dS) minimum maps to the dynamics of Dyson Brownian motion describing the relaxationof non-equilibrium eigenvalue spectra in random matrix theory. We analytically computethe relaxation probability in a saddle point approximation of the partition function ofthe eigenvalue distribution of the Wigner ensemble describing the mass matrices of thecritical points. When applied to small-field ination in the landscape, this leads to anexponentially strong bias against small-field ranges and an upper bound N <<  10 on thenumber of light fields N participating during ination from the non-observation of negativespatial curvature.
%K matrix model: random (INSPIRE)
%K potential: random (INSPIRE)
%K inflation (INSPIRE)
%K landscape (INSPIRE)
%K saddle-point approximation (INSPIRE)
%K critical phenomena (INSPIRE)
%K partition function (INSPIRE)
%K Brownian motion (INSPIRE)
%K stochastic (INSPIRE)
%K curvature (INSPIRE)
%K de Sitter (INSPIRE)
%K history (INSPIRE)
%K string (INSPIRE)
%F PUB:(DE-HGF)29 ; PUB:(DE-HGF)16
%9 ReportJournal Article
%U <Go to ISI:>//WOS:000397972200004
%R 10.1007/JHEP03(2017)163
%U https://bib-pubdb1.desy.de/record/320189