Vector potential versus colour charge density in low-x evolution

TL;DR

This paper revisits low-x evolution equations for multigluon correlators, deriving them directly in terms of vector potentials, correcting previous computational errors, and simplifying the equations.

Contribution

It introduces a direct derivation method for evolution equations using vector potentials, avoiding intermediate colour charge density concepts, and provides corrected, simplified equations.

Findings

Corrected previous computational errors

Derived evolution equations directly in terms of vector potentials

Simplified the form of the evolution equations

Abstract

We reconsider the evolution equations for multigluon correlators derived in hep-ph/9709432. We show how to derive these equations directly in terms of vector potentials (or colour field strength) avoiding the introduction of the concept of colour charge density in the intermediate steps. The two step procedure of deriving the evolution of the charge density correlators followed by the solution of classical equations for the vector potentials is shown to be consistent with direct derivation of evolution for vector potentials. In the process we correct some computational errors of hep-ph/9709432 and present the corrected evolution equations which have a somewhat simpler appearance.