Conformal invariant pomeron interaction in the perurbative QCD with large N_c

TL;DR

This paper develops a conformally invariant quantum field theory for pomeron interactions in high-coloured QCD, incorporating splitting, merging, and loop diagrams, and reduces it to a classical Gribov pomeron framework.

Contribution

It introduces a novel non-local quantum field theory for pomerons with conformal invariance, including complex interaction vertices and loop diagrams, extending previous models.

Findings

Constructed an effective non-local quantum field theory for pomerons.

Derived Schwinger-Dyson equations for the physical pomeron.

Reduced the theory to the classical Gribov pomeron model with an infinite number of pomerons.

Abstract

An effective non-local quantum field theory is constructed, which describes interaction of pomerons in the high-coloured 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 to reduce the theory to the old-fashioned Gribov pomeron theory with an infinite number of pomerons, one of which is supercritical.