Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-12-24
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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