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 $r^2=1/Q_s^2(x)$, where $r$ is the dipole size and $Q_s$ is the saturation momentum.

17 pages, 3 figures

References in corpus (9)

• Noisy traveling waves: effect of selection on genealogies
• Solution for the BFKL Pomeron Calculus in zero transverse dimensions
• On the equivalence of Reggeon field theory in zero transverse dimensions and reaction-diffusion processes
• On the probability distribution of the stochastic saturation scale in QCD
• Forward gluon production in hadron-hadron scattering with Pomeron loops
• Conformal invariant equations for nucleus-nucleus scattering in perturbative QCD with $N_c\to \infty$
• The BFKL Pomeron Calculus: Probabilistic Interpretation and High Energy Amplitude
• The BFKL Pomeron Calculus in zero transverse dimensions: diffractive processes and survival probability for central diffractive production
• QCD at high energy: saturation and fluctuation effects