paper

On the absence of localized curvature in the weak-coupling phase of quantum gravity

arXiv:hep-th/9311078 · doi:10.1016/0370-2693(94)90024-8

Abstract

In the weak field expansion of euclidean quantum gravity, an analysis of the Wilson loops in terms of the gauge group, , shows that the correspondent statistical system does not develope any configuration with localized curvature at low temperature. Such a ``non-local'' behavior contrasts strongly with that of usual gauge fields. We point out a possible relation between this result and those of the numerical simulations of quantum Regge Calculus. We also give a general quantum formula for the static potential energy of the gravitational interaction of two masses, which is compatible with the mentioned vacuum structure.

7 pages, LaTex, report CTP #2253, November 1993

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