Fractal Structure In 4D Gravity
We argue that classical general relativity is drastically modified at cosmological distance scales, due to the large quantum fluctuations of the conformai factor. The infrared dynamics is generated by an effective action induced by the trace anomaly, analogous to the Polyakov action in two dimensions, and it describes a scale invariant phase of quantum gravity in the far infrared. We derive scaling relations for the partition function and physical observables, which can in principle be tested in numerical simulations of simplicial four geometries with S 4 topology. In particular, we predict the form of the critical curve in the coupling constant plane, and determine the scaling of the Newtonian coupling with volume which permits a sensible continuum limit.
KeywordsQuantum Gravity Continuum Limit Conformal Factor Critical Curve Trace Anomaly
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