Towards Nonperturbative Renormalizability of Quantum Einstein Gravity

Details Towards Nonperturbative Renormalizability of Quantum Einstein Gravity Towards Nonperturbative Renormalizability of Quantum Einstein Gravity

2001-12-11

arxiv.org/abs/hep-th/0112089v1

Int.J.Mod.Phys. A17 (2002) 993-1002

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, latex, 1 figure

Scientific paper

10.1142/S0217751X02010418

We summarize recent evidence supporting the conjecture that four-dimensional Quantum Einstein Gravity (QEG) is nonperturbatively renormalizable along the lines of Weinberg's asymptotic safety scenario. This would mean that QEG is mathematically consistent and predictive even at arbitrarily small length scales below the Planck length. For a truncated version of the exact flow equation of the effective average action we establish the existence of a non-Gaussian renormalization group fixed point which is suitable for the construction of a nonperturbative infinite cutoff-limit. The cosmological implications of this fixed point are discussed, and it is argued that QEG might solve the horizon and flatness problem of standard cosmology without an inflationary period.

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