Geodesic
Convergence of the perturbation series for the Yukawa interaction
Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 2, pp. 203-212 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {A. G. Basuev},
     title = {Convergence of the perturbation series for the {Yukawa} interaction},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {1975},
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A. G. Basuev. Convergence of the perturbation series for the Yukawa interaction. Teoretičeskaâ i matematičeskaâ fizika, Tome 22 (1975) no. 2, pp. 203-212. http://geodesic.mathdoc.fr/item/TMF_1975_22_2_a4/

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