Scaling behavior of quantum four-geometries

Details Scaling behavior of quantum four-geometries Scaling behavior of quantum four-geometries

1993-01-02

arxiv.org/abs/hep-th/9301002v1

Phys.Lett. B323 (1994) 284-291

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1016/0370-2693(94)91221-1

We propose that large quantum fluctuations of the conformal factor drastically modify classical general relativity at cosmological distance scales, resulting in a scale invariant phase of quantum gravity in the far infrared. We derive scaling relations for the partition function and physical observables in this conformal phase, and suggest quantitative tests of these relations 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. The existing numerical results already provide some evidence of this new conformal invariant phase of quantum gravity.

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