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|a 10.1007/JHEP03(2017)163
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|a arXiv:1611.07059
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088 1 _ |a IFT-UAM-CSIC-16-128 DESY-16-224; arXiv:1611.07059
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100 1 _ |0 P:(DE-H253)PIP1018307
|a Pedro, Francisco
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245 _ _ |a Inflation with a Graceful Exit in a Random Landscape
260 _ _ |a Berlin
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520 _ _ |a 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 $N\ll$ 10 on thenumber of light fields $N$ participating during ination from the non-observation of negativespatial curvature.
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650 _ 7 |2 INSPIRE
|a matrix model: random
650 _ 7 |2 INSPIRE
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650 _ 7 |2 INSPIRE
|a inflation
650 _ 7 |2 INSPIRE
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650 _ 7 |2 INSPIRE
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650 _ 7 |2 INSPIRE
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700 1 _ |0 P:(DE-H253)PIP1013212
|a Westphal, Alexander
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|t Journal of high energy physics
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787 0 _ |0 PUBDB-2016-06064
|a Pedro, Francisco G. et.al.
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|t Inflation with a graceful exit in a random landscape
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