On the Gravitational Scaling Dimensions

Details On the Gravitational Scaling Dimensions On the Gravitational Scaling Dimensions

1999-12-24

arxiv.org/abs/hep-th/9912246v1

Phys.Rev. D61 (2000) 124008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 50 pages, 17 figures

Scientific paper

10.1103/PhysRevD.61.124008

A model for quantized gravitation based on the simplicial lattice discretization is studied in detail using a comprehensive finite size scaling analysis combined with renormalization group methods. The results are consistent with a value for the universal critical exponent for gravitation $\nu=1/3$, and suggest a simple relationship between Newton's constant, the gravitational correlation length and the observable average space-time curvature. Some perhaps testable phenomenological implications of these results are discussed. To achieve a high numerical accuracy in the evaluation of the lattice path integral a dedicated parallel machine was assembled.

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