An Estimate of Λin Resummed Quantum Gravity in the Context of Asymptotic Safety

Details An Estimate of Λin Resummed Quantum Gravity in the Context of Asymptotic Safety An Estimate of Λin Resummed Quantum Gravity in the Context of Asymptotic Safety

2010-08-05

arxiv.org/abs/1008.1046v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 1 figure; more systematic presentation; extended text, two new figures for self-containment

Scientific paper

We show that, by using recently developed exact resummation techniques based on the extension of the methods of Yennie, Frautschi and Suura to Feynman's formulation of Einstein's theory, we get quantum field theoretic descriptions for the UV fixed-point behaviors of the dimensionless gravitational and cosmological constants postulated by Weinberg. Connecting our work to the attendant phenomenological asymptotic safety analysis of Planck scale cosmology by Bonanno and Reuter, we predict the value of the cosmological constant \Lambda. We find the encouraging estimate \rho_\Lambda\equiv \frac{\Lambda}{8\pi G_N} \simeq (2.400\times 10^{-3}eV)^4.

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