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We study the matter one-loop quantum corrections to the gravitational sectorin a gravity theory coupled with a nonlocal scalar field. We find thatnon-renormalizable divergences disappear when the propagator of the scalarfield approaches to a non-zero constant at high momentum, while the vacuumenergy is still divergent. We also comment on non-local modification offermion, gauge field and graviton.

One loop divergences in quantum gravity coupled with nonlocal matter fields