  We present a strategy for a lattice evaluation of the neutron electric dipole
moment induced by the strong CP violating term of the QCD Lagrangian. Our
strategy is based on the standard definition of the electric dipole moment,
involving the charge density operator J0, in case of three flavors with
non-degenerate masses. We present a complete diagrammatic analysis showing how
the axial chiral Ward identities can be used to replace the opological charge
operator with the flavor-singlet pseudoscalar density PS. Our final result is
characterized only by disconnected diagrams, where the disconnected part can be
either the single insertion of PS or the separate insertions of both PS and J0.
The applicability of our strategy to the case of lattice formulations that
explicitly break chiral symmetry, like the Wilson and Clover actions, is
discussed.
