TY - JOUR

T1 - Summing pomeron loops in the dipole approach

AU - Levin, E.

AU - Miller, J.

AU - Prygarin, A.

PY - 2008/6/15

Y1 - 2008/6/15

N2 - 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.

AB - 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.

KW - BFKL pomeron

KW - Exact solution

KW - Mean field approach

KW - Pomeron loops

UR - http://www.scopus.com/inward/record.url?scp=43649105656&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2008.03.007

DO - 10.1016/j.nuclphysa.2008.03.007

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AN - SCOPUS:43649105656

SN - 0375-9474

VL - 806

SP - 245

EP - 286

JO - Nuclear Physics A

JF - Nuclear Physics A

IS - 1-4

ER -