Summing pomeron loops in the dipole approach

E. Levin*, J. Miller, A. Prygarin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

41 Scopus citations


In this paper, we argue that in the kinematic range given by 1 ≪ ln (1 / αS2) ≪ αS Y ≪ frac(1, αS), we can reduce the pomeron calculus to the exchange of non-interacting pomerons, with the renormalised 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.

Original languageEnglish
Pages (from-to)245-286
Number of pages42
JournalNuclear Physics A
Issue number1-4
StatePublished - 15 Jun 2008


  • BFKL pomeron
  • Exact solution
  • Mean field approach
  • Pomeron loops


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