Gluon number fluctuations and diffusive scaling effect

Fischer W. Gluon number fluctuations and diffusive scaling effect. Frontiers of Physics in China. 2011;6(1):100-105.The diffusive scaling is studied based on pomeron loop equations in the fixed coupling case. At Y >> Y(DS), 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))]/root 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