English

Asymptotic Safety in Quantum Einstein Gravity: nonperturbative renormalizability and fractal spacetime structure

High Energy Physics - Theory 2007-05-23 v1 General Relativity and Quantum Cosmology

Abstract

The asymptotic safety scenario of Quantum Einstein Gravity, the quantum field theory of the spacetime metric, is reviewed and it is argued that the theory is likely to be nonperturbatively renormalizable. It is also shown that asymptotic safety implies that spacetime is a fractal in general, with a fractal dimension of 2 on sub-Planckian length scales.

Keywords

Cite

@article{arxiv.hep-th/0511260,
  title  = {Asymptotic Safety in Quantum Einstein Gravity: nonperturbative renormalizability and fractal spacetime structure},
  author = {O. Lauscher and M. Reuter},
  journal= {arXiv preprint arXiv:hep-th/0511260},
  year   = {2007}
}

Comments

29 pages, latex, 1 figure, invited paper at the Blaubeuren Workshop 2005 on Mathematical and Physical Aspects of Quantum Gravity