6533b7cffe1ef96bd125847d
RESEARCH PRODUCT
Fractal Spacetime Structure in Asymptotically Safe Gravity
O. LauscherMartin Reutersubject
High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsSpacetimeTruncationMonte Carlo methodAsymptotic safety in quantum gravityFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum Cosmologysymbols.namesakeClassical mechanicsFractalHigh Energy Physics - Theory (hep-th)symbolsEinsteinConstant (mathematics)Quantumdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-08-26 |