Summing Pomeron loops in the dipole approach

Abstract

In this paper we argue that in the kinematic range given by $ 1 \ll \ln(1/\as^2) \ll \as Y \ll \frac{1}{\as}$, we can reduce the Pomeron calculus to the exchange of non-interacting Pomerons with the renormalized amplitude of their interaction with the target. Therefore, the summation of the Pomeron loops can be performed using the improved Mueller, Patel, Salam and Iancu approximation and this leads to the geometrical scaling solution. This solution is found for the simplified BFKL kernel. We reproduce the findings of Hatta and Mueller that there are overlapping singularities. We suggest a way of dealing with these singularities.

31 pages, 12 figures in eps files

References in corpus (5)

• The BFKL Pomeron Calculus in zero transverse dimensions: summation of Pomeron loops and generating functional for the multiparticle production processes
• Correlation of small-x gluons in impact parameter space
• Conformal invariant equations for nucleus-nucleus scattering in perturbative QCD with $N_c\to \infty$
• The BFKL Pomeron Calculus in the dipole approach
• Langevin equation in effective theory of interacting QCD pomerons in the limit of large $N_c$

Cited by in corpus (4)

• Multiparticle production in the mean field approximation of high density QCD
• Resummation of projectile-target multiple scatterings and parton saturation
• Connections between high energy QCD and statistical physics
• On the behaviour of R(pA) at high energy