Evidence for Asymptotic Safety from Lattice Quantum Gravity

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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

Scientific paper

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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