Conformal invariance and QCD Pomeron vertices in the $1/N_c$ limit

TL;DR

This paper derives analytical expressions for QCD Pomeron amplitudes using conformal invariance within the dipole framework at small x and 1/N_c limit, connecting to conformal field theories.

Contribution

It introduces a new analytical approach to compute 1 -> p dipole multiplicity densities and Pomeron amplitudes in momentum space using conformal invariance and effective vertices.

Findings

Derived explicit 1 -> p dipole multiplicity densities.

Expressed Pomeron amplitudes in terms of one-loop effective vertices.

Connected QCD Pomeron framework with conformal field theories.

Abstract

Using the dipole framework for QCD at small x in the 1/N_c limit, we derive the expression of the 1 -> p dipole multiplicity density in momentum space. This gives an analytical expression for the 1 -> p QCD Pomeron amplitudes in terms of one-loop integration of effective vertices in transverse momentum. Conformal invariance and a Hilbert space construction for dipole correlation functions are the main tools of the derivation. Relations with conformal field theories in the classical limit are discussed.