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arXiv:hep-th/0508202hep-th

Fractal Spacetime Structure in Asymptotically Safe Gravity

O. Lauscher, M. Reuter

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Abstract

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.

arXiv comments
20 pages, latex
Journal reference
JHEP0510:050,2005
DOI
doi:10.1088/1126-6708/2005/10/050
Subjects
hep-thHigh Energy Physics, Theory gr-qcGeneral Relativity and Quantum Cosmology

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  1. An old theory of quantized gravity is gaining new life 1 comment

    • Having the theory behave at all, in the sense that calculations do not result in infinities, is big enough. But there is a prediction which has been made pretty much since Reuter et al. picked up asymptotic safety again in the mid-2000s, and which is directly related to the way…

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