Planck Scale Cosmology and Asymptotic Safety in Resummed Quantum Gravity

Understand

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.