Vacuum correlations in quantum gravity
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We give a lowest-order estimation of some invariant correlation functions of quantized Einstein gravity in any dimension N > 2. The non-perturbative evaluation of such functions would play an important role in the Monte Carlo simulations of quantum gravity. We find that the invariant correlation of the Riemann curvature vanishes, and the same does the Wilson loop of the Christoffel connection. Some other possibilities are mentioned.