Journal
NUCLEAR PHYSICS A
Volume 806, Issue -, Pages 245-286Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.nuclphysa.2008.03.007
Keywords
BFKL pomeron; pomeron loops; mean field approach; exact solution
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In this paper, we argue that in the kinematic range given by 1 << ln(1/alpha(2)(S)) << alpha Y-S << 1/alpha(S), 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. (c) 2008 Elsevier B.V. All rights reserved.
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