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000320189 1001_ $$0P:(DE-H253)PIP1018307$$aPedro, Francisco$$b0$$eCorresponding author$$udesy
000320189 245__ $$aInflation with a Graceful Exit in a Random Landscape
000320189 260__ $$aBerlin$$bSpringer$$c2017
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000320189 520__ $$aWe 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 $N\ll$ 10 on thenumber of light fields $N$ participating during ination from the non-observation of negativespatial curvature.
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000320189 7001_ $$0P:(DE-H253)PIP1013212$$aWestphal, Alexander$$b1$$udesy
000320189 773__ $$0PERI:(DE-600)2027350-2$$a10.1007/JHEP03(2017)163$$gVol. 2017, no. 3, p. 163$$n3$$p163$$tJournal of high energy physics$$v2017$$x1029-8479$$y2017
000320189 7870_ $$0PUBDB-2016-06064$$aPedro, Francisco G. et.al.$$d2016$$iIsParent$$rIFT-UAM-CSIC-16-128 DESY-16-224$$tInflation with a graceful exit in a random landscape
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