4.2 Article Proceedings Paper

Towards nonperturbative renormalizability of quantum Einstein gravity

Journal

INTERNATIONAL JOURNAL OF MODERN PHYSICS A
Volume 17, Issue 6-7, Pages 993-1002

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X02010418

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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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