  It is shown how nucleon-nucleon potentials can be defined in N dimensions,
using dimensional regularization to continue amplitudes. This provides an easy
way to separate out contact ($\delta$-function) terms arising from
renormalization. An example is worked out several ways for the case of two
scalar particles exchanged between nucleons, which involves a very simple loop
calculation. This leads to a Feynman-parameterized representation for the
nucleon-nucleon potential. Alternately, a dispersion representation can be
developed leading to a different, though equivalent, form.
