Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-01-22
Eur.Phys.J.C53:385-399,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
20 pp. 8 figures
Scientific paper
10.1140/epjc/s10052-007-0458-5
In this paper we address two problems in the BFKL Pomeron calculus in zero transverse dimensions: the summation of the Pomeron loops and the calculation of the processes of multiparticle generation. We introduce a new generating functional for these processes and obtain the evolution equation for it. 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 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 Mueller, Patel, Salam and Iancu approximation.
Levin Eugene
Prygarin Alex
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