mixing amplitudes and these are quite different from the ones used in the successful phenomenology[@GHT92]-[@MTRC94],[@IN94].

The purpose of the present paper is to study the general role of the off-shell meson propagator in NN potentials. We find that knowledge of the off-shell meson propagator is not sufficient to determine the potential. In particular, one needs the vertex functions computed from the same theory that supplied the propagator. None of the present treatments of the off-shell propagator deals with the issue of the necessary vertex functions. It is not our intent to compute these functions. Rather, we wish to clarify issues of principle. Accordingly we have included a number of simple illustrative examples. We do show, however, that the CSB induced by the $\rho-\omega$ exchange potential can account for the existing data even if the the $q^2$ dependence is exactly as specified in any of the references [@GHT92]-[@MTRC94],[@IN94],[@HHKM94]. This is done by using CSB vertex functions

We turn to an outline of this paper. In Sect. II we discuss the problem that in hadronic field theoretic models there is never a unique choice for fields, even in a renormalizable theory[@Haag], [@Ruelle], [@Borchers] and [@Coleman]. This means that the propagator and the 