Eternal inflation and localization on the landscape

Journal Article · Sun Feb 15 00:00:00 EST 2009 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2009/02/007· OSTI ID:22156892

Podolsky, Dmitry; Enqvist, Kari ^[1]

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1. Helsinki Institute of Physics, University of Helsinki, P.O.Box 64, FIN-00014 Helsinki (Finland)

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.

• OSTI ID: 22156892
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2009, Issue 02; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

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