TY - JOUR
T1 - Pomeron calculus in zero transverse dimensions
T2 - Summation of pomeron loops and generating functional for multiparticle production processes
AU - Levin, E.
AU - Prygarin, A.
PY - 2008/2
Y1 - 2008/2
N2 - 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 1 ≪ In (1/αs 2) ≪ αsY ≪ 1/αs, 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.
AB - 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 1 ≪ In (1/αs 2) ≪ αsY ≪ 1/αs, 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.
UR - http://www.scopus.com/inward/record.url?scp=38349063399&partnerID=8YFLogxK
U2 - 10.1140/epjc/s10052-007-0458-5
DO - 10.1140/epjc/s10052-007-0458-5
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AN - SCOPUS:38349063399
SN - 1434-6044
VL - 53
SP - 385
EP - 399
JO - European Physical Journal C
JF - European Physical Journal C
IS - 3
ER -