Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-04-15
JCAP 0805:024,2008
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, 6 figures; more references added; matches published version
Scientific paper
10.1088/1475-7516/2008/05/024
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.
Jokela Niko
Majumder Jaydeep
Podolsky Dmitry I.
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