Conformal invariant equations for nucleus-nucleus scattering in perturbative QCD with $N_c\to\infty$

TL;DR

This paper derives conformal invariant equations for nucleus-nucleus scattering amplitudes in perturbative QCD at infinite color number, using dipole densities and conformal basis transformations.

Contribution

It introduces coupled conformal invariant equations for dipole densities in nucleus collisions within perturbative QCD at N_c→∞, including basis transformation and truncation analysis.

Findings

Derived coupled equations for dipole densities

Identified conformal invariance in absence of external sources

Discussed conformal basis and truncation methods

Abstract

In the perturbative QCD with $N_c\to\infty$ the amplitude for the collision of two heavy nuclei is expressed via dipole densities in the nuclei. Coupled equations for these densities are derived in the configuration space. The equations are conformal invariant in absence of external sources. Passing to conformal basis and its possible truncation are discussed.