Scaling Dimensions of Lattice Quantized Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Talk presented at the 9-th Marcel Grossman Meeting (LaTeX, 10 pages)

Scientific paper

I discuss a model for quantized gravitation based on the simplicial lattice discretization. It has been studied in some 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 are discussed, such as the scale dependence of Newton's constant and properties of quantum curvature fluctuations.

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