%0 Report
%A Pedro, Francisco G.
%A Westphal, Alexander
%T Inflation with a graceful exit in a random landscape
%N IFT-UAM-CSIC-16-128
%M PUBDB-2016-06064
%M IFT-UAM-CSIC-16-128
%M DESY-16-224
%M arXiv:1611.07059
%B Red Report
%P 29
%D 2016
%X We develop a stochastic description of small-field inflationary histories with a graceful exit in a random potential whose Hessian is a Gaussian random matrix as a model of the unstructured part of the string landscape. The dynamical evolution in such a random potential from a small-field inflation region towards a viable late-time de Sitter (dS) minimum maps to the dynamics of Dyson Brownian motion describing the relaxation of non-equilibrium eigenvalue spectra in random matrix theory. We analytically compute the relaxation probability in a saddle point approximation of the partition function of the eigenvalue distribution of the Wigner ensemble describing the mass matrices of the critical points. When applied to small-field inflation in the landscape, this leads to an exponentially strong bias against small-field ranges and an upper bound N << 10 on the number of light fields N participating during inflation from the non-observation of negative spatial curvature.
%F PUB:(DE-HGF)3 ; PUB:(DE-HGF)29 ; PUB:(DE-HGF)15
%9 BookReportInternal Report
%R 10.3204/PUBDB-2016-06064
%U https://bib-pubdb1.desy.de/record/315739