Cosmological Constant Seesaw in Quantum Cosmology

Abstract

Recently a phenomenological relationship for the observed cosmological constant has been discussed by Motl and Carroll in the context of treating the cosmological constant as a $2\times 2$ matrix but no specific realization of the idea was provided. We realize a cosmological constant seesaw mechanism in the context of quantum cosmology. The main observation used is that a positive cosmological constant plays the role of a $Mas{s}^2$ term in the Wheeler DeWitt (WDW) equation. Modifying the WDW equation to include a coupling between two universes, one of which has planck scale vacuum energy and another which has vacuum energy at the supersymmetry breaking scale before mixing, we obtain the relation $\lambda =(10TeV{)}^8/M_{Pl}^4$ in a similar manner to the usual seesaw mechanism. We discuss how the picture fits in with our current understanding of string/M-theory cosmologies. In particular we discuss how these results might be extended in the context of exact wave functions of the universe derived from certain string models.

24 pages

References in corpus (3)

• Cosmology as Geodesic Motion
• Milne and Torus Universes Meet
• Noncritical M-theory: Three Dimensions

Cited by in corpus (4)

• Massive super Yang-Mills quantum mechanics: classification and the relation to supermembrane
• Cosmological Constant Seesaw in String/M-Theory
• A small cosmological constant from the modified Brans-Dicke theory - an interplay between different energy scales
• Universe Decay, Inflation and the Large Eigenvalue of the Cosmological Constant Seesaw