Planck Scale Cosmology and Asymptotic Safety in Resummed Quantum Gravity

Details Planck Scale Cosmology and Asymptotic Safety in Resummed Quantum Gravity Planck Scale Cosmology and Asymptotic Safety in Resummed Quantum Gravity

2010-12-13

arxiv.org/abs/1012.2680v1

PoS(ICHEP 2010) (2010) 477

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages; presented by B.F.L. Ward at ICHEP 2010

Scientific paper

In Weinberg's asymptotic safety approach, a finite dimensional critical surface for a UV stable fixed point generates a theory of quantum gravity with a finite number of physical parameters. We argue that, in an extension of Feynman's original formulation of the theory, we recover this fixed-point UV behavior from an exact re-arrangement of the respective perturbative series. Our results are consistent with the exact field space Wilsonian renormalization group results of Reuter {\it et al.} and with recent Hopf- algebraic Dyson-Schwinger renormalization theory results of Kreimer. We obtain the first "first principles" predictions of the dimensionless gravitational and cosmological constants and our results support the Planck scale cosmology of Bonanno and Reuter. We conclude with an estimate for the currently observed value of the cosmological constant.

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