  Current models of inter-nucleon interactions are built within the frame of
Effective Field Theories (EFTs). Contrary to traditional nuclear potentials,
EFT interactions require a renormalization of their parameters in order to
derive meaningful estimations of observable. In this paper, a renormalization
procedure is designed in connection with many-body approximations applicable to
large-A systems and formulated within the frame of many-body perturbation
theory. The procedure is shown to generate counterterms that are independent of
the targeted A-body sector. As an example, the procedure is applied to the
random phase approximation. This work constitutes one step towards the design
of a practical EFT for many-body systems.
