A geometrical scaling solution to the BFKL Pomeron Calculus in the saturation domain

Abstract

In this paper the exact analytical solution is found for the BFKL Pomeron calculus in QCD, in which all Pomeron loops have been included. This solution manifests the geometrical scaling behaviour and matches with the solution to the linear evolution equation on the line $r^2= 1/Q^2_s(x)$, where $r$ is the dipole size and $Q_s$ is the saturation momentum.