Disorder on the landscape

Abstract

Disorder on the string theory landscape may significantly affect dynamics of eternal inflation leading to the possibility for some vacua on the landscape to become dynamically preferable over others. We systematically study effects of a generic disorder on the landscape starting by identifying a sector with built-in disorder -- a set of de Sitter vacua corresponding to compactifications of the Type IIB string theory on Calabi-Yau manifolds with a number of warped Klebanov-Strassler throats attached randomly to the bulk part of the Calabi-Yau. Further, we derive continuum limit of the vacuum dynamics equations on the landscape. Using methods of dynamical renormalization group we determine the late time behavior of the probability distribution for an observer to measure a given value of the cosmological constant. We find the diffusion of the probability distribution to significantly slow down in sectors of the landscape where the number of nearest neighboring vacua for any given vacuum is small. We discuss relation of this slow-down with phenomenon of Anderson localization in disordered media.

43 pages, 6 figures; more references added; matches published version

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Cited by in corpus (19)

• Dark Energy
• A parton picture of de Sitter space during slow-roll inflation
• Tumbling through a landscape: Evidence of instabilities in high-dimensional moduli spaces
• From Wires to Cosmology
• Multi-field Inflation with a Random Potential
• Cosmological Constant from Decoherence
• The δN formula is the dynamical renormalization group
• Field dynamics and tunneling in a flux landscape
• The vacuum bubbles in de Sitter background and black hole pair creation
• Disorder in the Early Universe
• Dynamical renormalization group methods in theory of eternal inflation
• Instanton solutions mediating tunneling between the degenerate vacua in curved space
• Calabi-Yau CFTs and Random Matrices
• Reheating-volume measure for random-walk inflation
• A Smooth Landscape: Ending Saddle Point Inflation Requires Features to be Shallow
• Reheating-volume measure in the landscape
• Anthropic prediction for a large multi-jump landscape
• Collapse of Vacuum Bubbles in a Vacuum
• Eternal inflation and localization on the landscape