TY  - RPRT
AU  - Pedro, Francisco G.
AU  - Westphal, Alexander
TI  - Inflation with a graceful exit in a random landscape
IS  - IFT-UAM-CSIC-16-128
M1  - PUBDB-2016-06064
M1  - IFT-UAM-CSIC-16-128
M1  - DESY-16-224
M1  - arXiv:1611.07059
T2  - Red Report
SP  - 29
PY  - 2016
AB  - 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.
LB  - PUB:(DE-HGF)3 ; PUB:(DE-HGF)29 ; PUB:(DE-HGF)15
DO  - DOI:10.3204/PUBDB-2016-06064
UR  - https://bib-pubdb1.desy.de/record/315739
ER  -