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The non-trivial ultraviolet fixed point in quantum gravity is calculated bymeans of the exact renormalization group equation in d-dimensions $(2\simeqd\leq4)$. It is shown that the ultraviolet non-Gaussian fixed point which isexpected from the perturbatively $\epsilon$-expanded calculations in$2+\epsilon$ gravity theory remains in d=4. Hence it is possible that quantumgravity is an asymptotically safe theory and renormalizable in 2<d.Comment: 17 pages with 5 eps figures, to be published in Prog. Theor. Phy

Non-Trivial Ultraviolet Fixed Point in Quantum Gravity