With the aid of generating-functional technique, the many-body correla
tion dynamics was generalized to the relativistic cases within a Green
's function formalism and two sets of equations of motion for the corr
elation (or connected) Green's functions were derived respectively for
the scalar phi3-model and the Yukawa model, which were nonperturbativ
e in nature and could provide physically transparent truncations with
respect to the order of correlations.