Eur. Phys. J. C (2006) 48: 511-522
https://doi.org/10.1140/epjc/s10052-006-0037-1

Theoretical Physics

Conformally invariant pomeron interaction in perturbative QCD with large N_c

Department of High Energy Physics, University of St. Petersburg, 198904, St. Petersburg, Russia

^* e-mail: braun1@pobox.spbu.ru

Received: 5 December 2005
Revised: 31 July 2006
Published online: 24 October 2006

Abstract

An effective non-local quantum field theory is constructed, which describes the interaction of pomerons in high-colored QCD. The theory includes both splitting and merging triple pomeron vertexes and diagrams with pomeronic loops. The Schwinger–Dyson equations for the ‘physical’ pomeron are written. Conformal invariance allows one to reduce the theory to the old-fashioned Gribov pomeron theory with an infinite number of pomerons, one of which is supercritical.