Scaling Behavior of Ricci Curvature at Short Distance near Two Dimensions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9pages, LaTeX

Scientific paper

10.1103/PhysRevD.55.2076

We study the renormalization of the Ricci curvature as an example of generally covariant operators in quantum gravity near two dimensions. We find that it scales with a definite scaling dimension at short distance. The Ricci curvature singularity at the big bang can be viewed as such a scaling phenomenon. The problem of the spacetime singularity may be resolved by the scale invariance of the spacetime at short distance.

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