The BFKL Pomeron Calculus in zero transverse dimension : summation of the Pomeron loops and the generating functional for the multiparticle production processes

Content Provider	Semantic Scholar
Author	Levin, Eugene Prygarin, Alex
Copyright Year	2008
Abstract	In this paper we address two problems in the BFKL Pomeron calculus in zero transverse dimension: 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 ≪ ln(1/α 2 S) ≪ α S Y ≪ 1 α S , 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. Contents 1. Introduction 1 2. The mean field approximation 3 2.1 General approach. 3 2.2 The BFKL Pomeron calculus in zero transverse dimension: general approach 6 2.3 The generating functional for the multiparticle production: definition and linear evolution equation 7 2.4 The generating functional for the multiparticle production: non-linear equation 9 2.5 The generating functional for the multiparticle production: consistency with the AGK cutting rules 10 3. Pomeron loops 10 3.1 Evolution equation with loops 10 3.2 A new method of summation of the Pomeron loops: improved Mueller-Patel-Salam-Iancu approach 13 3.3 The generating functional for the multiparticle production with Pomeron loops 17 4. Conclusions 19
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/hep-ph/0701178v2.pdf
Alternate Webpage(s)	http://arxiv.org/pdf/hep-ph/0701178v1.pdf
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article