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Scaling Dimensions of Lattice Quantized Gravity

H. W. Hamber
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Abstract

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 $ν=1/3$, 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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H. W. Hamber. 2001-01-25. Scaling Dimensions of Lattice Quantized Gravity. https://doi.org/10.1142/9789812777386_0282

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