  We discuss the connection between the perturbative and non-perturbative
renormalization and related conceptual issues in the few-nucleon sector of the
low-energy effective field theory of the strong interactions. General arguments
are supported by examples from effective theories with and without pions as
dynamical degrees of freedom. A quantum mechanical potential with explicitly
specified short- and long-range parts is considered as an "underlying
fundamental theory" and the corresponding effective field theory potential is
constructed. Further, the problem of the effective field theoretical
renormalization of the Skornyakov-Ter-Martyrosian equation is revisited.
