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:

 Helsinki Institute of Physics, University of Helsinki, P.O.Box 64, FIN00014 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 14757516
 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:10.1088/14757516/2009/02/007.
Podolsky, Dmitry, & Enqvist, Kari. Eternal inflation and localization on the landscape. United States. https://doi.org/10.1088/14757516/2009/02/007
Podolsky, Dmitry, and Enqvist, Kari. Sun .
"Eternal inflation and localization on the landscape". United States. https://doi.org/10.1088/14757516/2009/02/007.
@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 = {10.1088/14757516/2009/02/007},
url = {https://www.osti.gov/biblio/22156892},
journal = {Journal of Cosmology and Astroparticle Physics},
issn = {14757516},
number = 02,
volume = 2009,
place = {United States},
year = {2009},
month = {2}
}