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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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     author = {G. V. Efimov},
     title = {Nonlocal quantum field theory, nonlinear interaction lagrangians, and the convergence of the perturbation-theory series},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {302--310},
     year = {1970},
     volume = {2},
     number = {3},
     language = {ru},
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}
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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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