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

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

2005-11-25

arxiv.org/abs/hep-th/0511260v1

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

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.

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