Probabilities in the Arkani-Hamed-Dimopolous-Kachru landscape

Details Probabilities in the Arkani-Hamed-Dimopolous-Kachru landscape Probabilities in the Arkani-Hamed-Dimopolous-Kachru landscape

2006-11-22

arxiv.org/abs/hep-th/0611237v1

J.Phys.A40:7363-7374,2007

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 4 figures

Scientific paper

10.1088/1751-8113/40/26/017

In a previous paper we found that in the context of the string theory ``discretuum'' proposed by Bousso and Polchinski, the cosmological constant probability distribution varies wildly. However, the successful anthropic predictions of the cosmological constant depend crucially on the assumption of a flat prior distribution. We conjectured that the staggered character of our Bousso-Polchinski distribution will arise in any landscape model which generates a dense spectrum of low-energy constants from a wide distribution of states in the parameter space of the fundamental theory. Here we calculate the volume distribution for $\Lambda$ in the simpler Arkani-Hamed-Dimopolous-Kachru landscape model, and indeed this conjecture is borne out.

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