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note
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The effective reaction rate entering the Smoluchowski coagulation equation is not equal to the bare reaction rate. This is due to strong ultraviolet divergence of Feynman integrals contributing to renormalization of the reaction rate. As a result, the density-density correlation function is not equal to the product of one-point functions, but rather is proportional to it. Yet, as the renormalized reaction rate in d>2 is a constant depending on lattice spacing, decay exponents are predicted by the mean-field correctly.
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