Fractal Spacetime Structure in Asymptotically Safe Gravity

Details Fractal Spacetime Structure in Asymptotically Safe Gravity Fractal Spacetime Structure in Asymptotically Safe Gravity

2005-08-26

arxiv.org/abs/hep-th/0508202v1

JHEP0510:050,2005

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, latex

Scientific paper

10.1088/1126-6708/2005/10/050

Four-dimensional Quantum Einstein Gravity (QEG) is likely to be an asymptotically safe theory which is applicable at arbitrarily small distance scales. On sub-Planckian distances it predicts that spacetime is a fractal with an effective dimensionality of 2. The original argument leading to this result was based upon the anomalous dimension of Newton's constant. In the present paper we demonstrate that also the spectral dimension equals 2 microscopically, while it is equal to 4 on macroscopic scales. This result is an exact consequence of asymptotic safety and does not rely on any truncation. Contact is made with recent Monte Carlo simulations.

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