Eternal inflation and localization on the landscape

Abstract

We model the essential features of eternal inflation on the landscape of a dense discretuum of vacua by the potential $V(\varphi )=V_0+\delta V(\varphi )$, where $|\delta V(\varphi )|\ll V_0$ is random. We find that the diffusion of the distribution function $\rho (\varphi ,t)$ 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 $\rho (\varphi ,t)$ 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 $t\to \infty$.

4 pages; more references added; discussion enlarged

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Cited by in corpus (6)

• Dark Energy
• A New Semiclassical Picture of Vacuum Decay
• Entropic Force Scenarios and Eternal Inflation
• The vacuum bubbles in de Sitter background and black hole pair creation
• Instanton solutions mediating tunneling between the degenerate vacua in curved space
• A Smooth Landscape: Ending Saddle Point Inflation Requires Features to be Shallow