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We extensively study the ultraviolet quantum properties of a nonlocal actionfor gravity nonminimally coupled to matter. The theory unifies matter andgravity in an action principle such that all the classical solutions ofEinstein's theory coupled to matter are also solutions of the nonlocal theory.At the quantum level, we show that the theory is power-countingsuper-renormalizable in even dimensions and finite in odd dimensions. A simpleextension of the model compatible with the above properties is finite also ineven dimensions.

Renormalizability of nonlocal quantum gravity coupled to matter