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

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

2010-02-24

arxiv.org/abs/1002.4575v1

Phys.Rev.D81:105014,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, 8 figures

Scientific paper

10.1103/PhysRevD.81.105014

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

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