  The phase behavior of the primitive model of electrolytes is studied in the
framework of various mean field approximations obtained recently by means of
methods pertaining to statistical field theory (CAILLOL, J.-M., 2004,
\textit{J. Stat. Phys.}, \textbf{115}, 1461). The role of the regularization of
the Coulomb potential at short distances is discussed in details and the link
with more traditional approximations of the theory of liquids is discussed. The
values computed for the critical temperatures, chemical potentials, and
densities are compared with available Monte Carlo data and other theoretical
predictions.
