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\gg 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 \left[1/\left(r^2{Q}_s^2\left(X\right)\right)\right]/\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.

Keywords

gluon number fluctuations / proton structure function / pomeron loop

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