Fractal spacetime structure in asymptotically safe gravity
Aug, 200520 pages
Published in:
- JHEP 10 (2005) 050
e-Print:
- hep-th/0508202 [hep-th]
Report number:
- MZ-TH-05-09
View in:
Citations per year
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.- quantum gravity
- cosmological constant
- space-time: fractal
- asymptotic behavior
References(64)
Figures(0)