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In order to get an estimate of the homogeneity of the distribution of matterin a fast hadron or nucleus, we compute the correlations of the saturationscales Q_s between different points in impact-parameter space, in some specificsaturation models. We find that these correlations are quite strong: Thesaturation scale is nearly uniform in domains whose sizes scale likeexp[const*ln^2(1/\alpha_s^2)]/Q_s, which means that the density of gluonsshould not fluctuate significantly over regions of that typical size. We expectthese conclusions as well as the explicit analytical expressions we obtain forthe correlations to be true also for full QCD in appropriate limits.

Correlations in impact-parameter space in a hierarchical saturation model for QCD at high energy