Evidence for Asymptotic Safety from Lattice Quantum Gravity

2011/04/30 by J. Laiho, D. Coumbe · 1 citation
Physics and Astronomy · #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevlett.107.161301

4 pages, 2 figures. Minor typos corrected, clarifications and reference added. Conforms with version published in PRL

arxiv created 2011/10/18 · arxiv updated 2013/05/29

Abstract

We calculate the spectral dimension for nonperturbative quantum gravity defined via Euclidean dynamical triangulations. We find that it runs from a value of ~3/2 at short distance to ~4 at large distance scales, similar to results from causal dynamical triangulations. We argue that the short distance value of 3/2 for the spectral dimension may resolve the tension between asymptotic safety and the holographic principle.

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