Gluon number fluctuations and diffusive scaling effect

Abstract

The diffusive scaling is studied based on pomeron loop equations in the fixed coupling case. At Y ≫ YDS, the gluon number fluctuations become important, the geometric scaling is replaced by the diffusive scaling. In the diffusive scaling regime, the deep inelastic scattering (DIS) total scattering cross-section is a function of single variable ln\( [1/(r^2 Q_s^2 (x))]/\sqrt {DY} \). We show that the deep inelastic scattering experimental data lie on a single curve, which seems to indicate the existence of the diffusive scaling phenomenology in the deep inelastic scattering.