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Title: Inflation in random Gaussian landscapes

Abstract

We develop analytic and numerical techniques for studying the statistics of slow-roll inflation in random Gaussian landscapes. As an illustration of these techniques, we analyze small-field inflation in a one-dimensional landscape. We calculate the probability distributions for the maximal number of e-folds and for the spectral index of density fluctuations n {sub s} and its running α {sub s} . These distributions have a universal form, insensitive to the correlation function of the Gaussian ensemble. We outline possible extensions of our methods to a large number of fields and to models of large-field inflation. These methods do not suffer from potential inconsistencies inherent in the Brownian motion technique, which has been used in most of the earlier treatments.

Authors:
; ;  [1]
  1. Institute of Cosmology, Department of Physics and Astronomy, Tufts University, Medford, MA 02155 (United States)
Publication Date:
OSTI Identifier:
22676188
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 05; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; BROWNIAN MOVEMENT; COMPUTERIZED SIMULATION; CORRELATION FUNCTIONS; CORRELATIONS; DENSITY; DISTRIBUTION; FLUCTUATIONS; INFLATIONARY UNIVERSE; ONE-DIMENSIONAL CALCULATIONS; PROBABILITY; RANDOMNESS

Citation Formats

Masoumi, Ali, Vilenkin, Alexander, and Yamada, Masaki, E-mail: ali@cosmos.phy.tufts.edu, E-mail: vilenkin@cosmos.phy.tufts.edu, E-mail: Masaki.Yamada@tufts.edu. Inflation in random Gaussian landscapes. United States: N. p., 2017. Web. doi:10.1088/1475-7516/2017/05/053.
Masoumi, Ali, Vilenkin, Alexander, & Yamada, Masaki, E-mail: ali@cosmos.phy.tufts.edu, E-mail: vilenkin@cosmos.phy.tufts.edu, E-mail: Masaki.Yamada@tufts.edu. Inflation in random Gaussian landscapes. United States. doi:10.1088/1475-7516/2017/05/053.
Masoumi, Ali, Vilenkin, Alexander, and Yamada, Masaki, E-mail: ali@cosmos.phy.tufts.edu, E-mail: vilenkin@cosmos.phy.tufts.edu, E-mail: Masaki.Yamada@tufts.edu. Mon . "Inflation in random Gaussian landscapes". United States. doi:10.1088/1475-7516/2017/05/053.
@article{osti_22676188,
title = {Inflation in random Gaussian landscapes},
author = {Masoumi, Ali and Vilenkin, Alexander and Yamada, Masaki, E-mail: ali@cosmos.phy.tufts.edu, E-mail: vilenkin@cosmos.phy.tufts.edu, E-mail: Masaki.Yamada@tufts.edu},
abstractNote = {We develop analytic and numerical techniques for studying the statistics of slow-roll inflation in random Gaussian landscapes. As an illustration of these techniques, we analyze small-field inflation in a one-dimensional landscape. We calculate the probability distributions for the maximal number of e-folds and for the spectral index of density fluctuations n {sub s} and its running α {sub s} . These distributions have a universal form, insensitive to the correlation function of the Gaussian ensemble. We outline possible extensions of our methods to a large number of fields and to models of large-field inflation. These methods do not suffer from potential inconsistencies inherent in the Brownian motion technique, which has been used in most of the earlier treatments.},
doi = {10.1088/1475-7516/2017/05/053},
journal = {Journal of Cosmology and Astroparticle Physics},
number = 05,
volume = 2017,
place = {United States},
year = {Mon May 01 00:00:00 EDT 2017},
month = {Mon May 01 00:00:00 EDT 2017}
}