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For the Ising model ($Q=2$), the field theory for the spins has upper critical dimension $d_{\\rm c}^{\\rm spin}=4$, whereas for the clusters it has $d_{\\rm c}^{\\rm cluster}=6$. As a consequence, the probability for three points to be in the same cluster is not given by mean-field theory for $d$ within $4<d<6$. 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