Convergence of the perturbation series for the Yukawa interaction

It is proved that the perturbation theory series in translation-invariant case and with the removed cut-off of boson propagator for the euclidean Green functions; converges if $|g|^2/\bar m\lambda^2/96\bar\Delta(0)$. Here $\bar m$ is a certain quantity which remains finite when the fermion propagator regularization is removed, $\lambda^2$ is the boson mass and $\bar\Delta(0)$ is the value of the fermion propagator at the point $x=0$ of the $x$-space. By means of other methods the same problem was considered in the work [6] for the pseudo-euclidean and in the work [5] for the euclidean Green functions.