Geodesic
Nonlocal quantum field theory, nonlinear interaction lagrangians, and the convergence of the perturbation-theory series
Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 3, pp. 302-310 
G. V. Efimov. Nonlocal quantum field theory, nonlinear interaction lagrangians, and the convergence of the perturbation-theory series. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 3, pp. 302-310. http://geodesic.mathdoc.fr/item/TMF_1970_2_3_a3/
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     author = {G. V. Efimov},
     title = {Nonlocal quantum field theory, nonlinear interaction lagrangians, and the convergence of the perturbation-theory series},
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}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown within the framework of nonlocal quantum theory of a one-component scalar field go that for significantly nonlinear interaction Lagrangians $L_I(x)=gU(\varphi(x))$ such that the function $U(\alpha)$ satisfies the condition $$ \lim_{\alpha\to\pm\infty}\vert U(\alpha)\vert=0, $$ it is possible to choose the noniocal formfactor in such a manner that the $S$-matrix will be finite and unitary in every order of perturbation theory and the perturbation-theory series will converge absolutely in a Euclidean domain.

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