Regular Article - Theoretical Physics
Pomeron calculus in zero transverse dimensions: Summation of pomeron loops and generating functional for multiparticle production processes
Department of Particle Physics, School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, 69978, Israel
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Revised: 12 September 2007
Published online: 15 November 2007
In this paper we address two problems in 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 , we can reduce the pomeron calculus to the 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 the Mueller–Patel–Salam–Iancu approximation.
© Springer-Verlag , 2008