  The nucleation rates derived for the condensation from a supersaturated vapor
are examined both in the classical theory and in the modern coarse-grained
field theory. By virtue of the scaling variable $\lambda_Z$ it is shown that
the method of steepest descent is irrelevant to evaluate the nucleation rate in
the proximity of the critical point in the capillary approximation. If the
logarithmic corrections to the activation energy of a droplet are taken into
account, then the calculated nucleation rates provide an adequate description
of the liquid-gas phase transition both near and out of the critical range.
