QCD equations for generating functionals and multiparticle correlations

QCD equations for generating functionals are solved at coinciding momenta of particles. The relations between q-particle correlations functions at coinciding momenta are obtained from this solution. These relations are directly connected with earlier results for factorial and cumulant moments of multiplicity distributions. Correlations at coinciding points are shown to decrease rapidly with increasing rank q; as q grows further, the correlations begin to oscillate. In particular the cumulant function of fifth rank is predicted to be negative. The experimental data are briefly discussed. 8 refs