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 -