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

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

1993-11-15

arxiv.org/abs/hep-th/9311078v1

Phys.Lett. B325 (1994) 354-358

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(94)90024-8

In the weak field expansion of euclidean quantum gravity, an analysis of the Wilson loops in terms of the gauge group, $SO(4)$, 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.

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