Report/Journal Article

PUBDB-2017-01557

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Inflation with a Graceful Exit in a Random Landscape

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

2017
Springer Berlin

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Please use a persistent id in citations: doi:10.1007/JHEP03(2017)163  doi:10.3204/PUBDB-2017-01557

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

Abstract: 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.

Keyword(s): matrix model: random ; potential: random ; inflation ; landscape ; saddle-point approximation ; critical phenomena ; partition function ; Brownian motion ; stochastic ; curvature ; de Sitter ; history ; string

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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. 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 2017

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Database coverage:
; ; ; ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; IF >= 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Book/Report/Internal Report Pedro, F. G. (Corresponding author) ; Westphal, A.DESY*
Inflation with a graceful exit in a random landscape
Red Report 29 pp. (2016) [10.3204/PUBDB-2016-06064]2016     Files  Fulltext Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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