Exploring the Phase Diagram of Lattice Quantum Gravity

2012/01/13 by Daniel Coumbe, Coumbe, Daniel, Jack Laiho +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.1201.2864

7 pages; presented at the XXIX International Symposium on Lattice Field Theory, July 10-16 2011, Squaw Valley, Lake Tahoe, California, USA. Updated version of proceedings submitted to PoS

arxiv created 2012/04/04 · arxiv updated 2012/04/05

Abstract

We present evidence that a nonperturbative model of quantum gravity defined via Euclidean dynamical triangulations contains a region in parameter space with an extended 4-dimensional geometry when a non-trivial measure term is included in the gravitational path integral. Within our extended region we find a large scale spectral dimension of D_s = 4.04 +/- 0.26 and a Hausdorff dimension that is consistent with D_H = 4 from finite size scaling. We find that the short distance spectral dimension is D_s ~ 3/2, which may resolve the tension between asymptotic safety and holographic entropy scaling.

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