We reconsider the evolution equations for multigluon correlators derived by
Jalilian-Marian, Kovner, and Weigert. We show how to derive these equation
s directly in terms of vector potentials (or color field strength) avoiding
the introduction of the concept of color charge density in the intermediat
e steps. The two step procedure of deriving the evolution of the charge den
sity correlators followed by the solution of classical equations for the ve
ctor potentials is shown to be consistent with direct derivation of evoluti
on for vector potentials. In the process we correct some computational erro
rs of Jalilian-Marian, Kovner, and Weigert and present the corrected evolut
ion equations which have a somewhat simpler appearance.