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Using the QCD sum rule approach, we calculate the electric dipole moment ofthe neutron induced by a vacuum theta--angle to approximately 40-50% precision,d_n = 2.4 x 10^{-16} \theta e.cm. Combined with the new experimental bound,this translates into the limit |\theta|< 3 x 10^{-10}.Comment: 4 pages, RevTeX: v2: typos corrected; v3: missing overall factor of  two reinstate

Theta-Induced Electric Dipole Moment of the Neutron via QCD Sum Rules