English

Towards Nonperturbative Renormalizability of Quantum Einstein Gravity

High Energy Physics - Theory 2009-11-07 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0112089,
  title  = {Towards Nonperturbative Renormalizability of Quantum Einstein Gravity},
  author = {O. Lauscher and M. Reuter},
  journal= {arXiv preprint arXiv:hep-th/0112089},
  year   = {2009}
}

Comments

10 pages, latex, 1 figure

R2 v1 2026-07-22T15:08:05.954Z