Book/Report/Internal Report

PUBDB-2016-06064

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Inflation with a graceful exit in a random landscape

Pedro, F. G. (Corresponding author) ; Westphal, A.DESY*

2016

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Please use a persistent id in citations: doi:10.3204/PUBDB-2016-06064

Report No.: DESY-16-224; IFT-UAM-CSIC-16-128; arXiv:1611.07059

Abstract: 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 $N\ll 10$ on the number of light fields $N$ participating during inflation from the non-observation of negative spatial curvature.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. STRINGFLATION - Inflation in String Theory - Connecting Quantum Gravity with Observations (647995) (647995)
3. HZ-NG-603 - Strings and Cosmology - an Interface for Testing fundamental Theories (2015_IFV-HZ-NG-603) (2015_IFV-HZ-NG-603)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2016

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Report/Journal Article Pedro, F. (Corresponding author)DESY* ; Westphal, A.DESY*
Inflation with a Graceful Exit in a Random Landscape
Journal of high energy physics 2017(3), 163 (2017) [10.1007/JHEP03(2017)163]2017     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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