  We explore the properties of the QCD high energy evolution in the limit of a
dilute target. Using the recently established property of selfduality of the
evolution operator (hep-ph/0502119), we show how to properly define the target
gluon and dipole creation operators in terms of dual Wilson lines (dual eikonal
factors). We explain how to expand these operators in terms of the functional
derivatives of the color charge density, in the situation when they act on the
eikonal factors of the projectile partons. We explicitly calculate the
expansion of the high energy evolution operator to fourth order in the
functional derivatives. Our result is infrared and ultraviolet finite, but does
not coincide with the formula given in hep-ph/0501088. We resolve this
discrepancy by showing that the identification of the dipole creation and
annihilation operators used in hep-ph/0501088 is incomplete, and provide the
required corrections to these definitions. The use of the corrected operators
in the calculational framework of hep-ph/0501088 reproduces our result. We also
prove that there is no discrepancy between the expansion of the JIMWLK equation
and the dualization of the expansion of the weak field limit.
