On the increase with relative distances of light cone operator product of currents and related phenomena

Abstract

We show that in QCD in the leading twist approximation flavor singlet light cone current-current correlators increase with distances rapidly similar to the correlator of velocities in turbulence and argue that this property is precursor of phase transitions in high energy processes . It is shown that absence of spatial oscillations of current-current correlators follows from asymptotic freedom in QCD. We discuss also influence of this new long-range interaction on the wave function of dipole in high energy DIS processes near the black disc limit.

10 pages, several misprints eliminated, detailed explanation is added on the change of dipole size, wave function and coherence length near the unitarity limit