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Title: Eternal inflation and localization on the landscape

Abstract

We model essential features of eternal inflation on the landscape of a dense discretuum of vacua by the potential V({phi}) = V{sub 0}+{delta}V({phi}), where |{delta}V({phi})| << V{sub 0} is random. We find that the diffusion of the distribution function {rho}({phi},t) of the inflaton expectation value in different Hubble patches may be suppressed due to the effect analogous to the Anderson localization in disordered quantum systems. At late times only the localized part of the distribution function {rho}({phi},t) survives which leads to dynamical selection principle on the landscape. As a result, there exist such islands on the landscape that the probability to measure any but a small value of the cosmological constant in a given Hubble patch is exponentially suppressed.

Authors:
;  [1]
  1. Helsinki Institute of Physics, University of Helsinki, P.O.Box 64, FIN-00014 Helsinki (Finland)
Publication Date:
OSTI Identifier:
22156892
Resource Type:
Journal Article
Journal Name:
Journal of Cosmology and Astroparticle Physics
Additional Journal Information:
Journal Volume: 2009; Journal Issue: 02; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; COSMOLOGICAL CONSTANT; DIFFUSION; DISTRIBUTION FUNCTIONS; EXPECTATION VALUE; HUBBLE EFFECT; INFLATIONARY UNIVERSE; POTENTIALS; PROBABILITY; QUANTUM FIELD THEORY

Citation Formats

Podolsky, Dmitry, and Enqvist, Kari. Eternal inflation and localization on the landscape. United States: N. p., 2009. Web. doi:10.1088/1475-7516/2009/02/007.
Podolsky, Dmitry, & Enqvist, Kari. Eternal inflation and localization on the landscape. United States. https://doi.org/10.1088/1475-7516/2009/02/007
Podolsky, Dmitry, and Enqvist, Kari. Sun . "Eternal inflation and localization on the landscape". United States. https://doi.org/10.1088/1475-7516/2009/02/007.
@article{osti_22156892,
title = {Eternal inflation and localization on the landscape},
author = {Podolsky, Dmitry and Enqvist, Kari},
abstractNote = {We model essential features of eternal inflation on the landscape of a dense discretuum of vacua by the potential V({phi}) = V{sub 0}+{delta}V({phi}), where |{delta}V({phi})| << V{sub 0} is random. We find that the diffusion of the distribution function {rho}({phi},t) of the inflaton expectation value in different Hubble patches may be suppressed due to the effect analogous to the Anderson localization in disordered quantum systems. At late times only the localized part of the distribution function {rho}({phi},t) survives which leads to dynamical selection principle on the landscape. As a result, there exist such islands on the landscape that the probability to measure any but a small value of the cosmological constant in a given Hubble patch is exponentially suppressed.},
doi = {10.1088/1475-7516/2009/02/007},
url = {https://www.osti.gov/biblio/22156892}, journal = {Journal of Cosmology and Astroparticle Physics},
issn = {1475-7516},
number = 02,
volume = 2009,
place = {United States},
year = {2009},
month = {2}
}