Asymptotic Safety in Quantum Einstein Gravity: nonperturbative renormalizability and fractal spacetime structure
Abstract
Description
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.
29 pages, latex, 1 figure, invited paper at the Blaubeuren Workshop 2005 on Mathematical and Physical Aspects of Quantum Gravity
29 pages, latex, 1 figure, invited paper at the Blaubeuren Workshop 2005 on Mathematical and Physical Aspects of Quantum Gravity