Eternal inflation and localization on the landscape

Details Eternal inflation and localization on the landscape Eternal inflation and localization on the landscape

2007-04-02

arxiv.org/abs/0704.0144v3

JCAP 0902:007,2009

Physics

High Energy Physics

High Energy Physics - Theory

4 pages; more references added; discussion enlarged

Scientific paper

10.1088/1475-7516/2009/02/007

We model the essential features of eternal inflation on the landscape of a dense discretuum of vacua by the potential $V(\phi)=V_{0}+\delta V(\phi)$, where $|\delta V(\phi)|\ll V_{0}$ 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 $t \to \infty$ only the localized part of the distribution function $\rho (\phi, t)$ survives which leads to dynamical selection principle on the landscape. The probability to measure any but a small value of the cosmological constant in a given Hubble patch on the landscape is exponentially suppressed at $t\to \infty$.

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