Essentially nonlinear interaction Lagrangians and nonlocalized quantum field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 36-54
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A formal scheme is proposed for considering the quantum theory of a single-component scalar field $\varphi(x)$ with essentially nonlinear Lagrangian interaction of the form $$ L_I(x)=g\sum_{n=0}^\infty\frac{u_n}{n!}\,{:}\varphi^n(x){:}, $$ where $u_n$ is a sequence of numbers which satisfy certain general equations. Reasons are given in favor of the fact that within the bounds of the proposed scheme, a form factor can be selected such that the $S$-matrix constructed for Lagrangian interaction $L_I(x)$ should be finite and unitary in every order of perturbation theory.
@article{TMF_1970_2_1_a2,
author = {G. V. Efimov},
title = {Essentially nonlinear interaction {Lagrangians} and nonlocalized quantum field theory},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {36--54},
year = {1970},
volume = {2},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a2/}
}
G. V. Efimov. Essentially nonlinear interaction Lagrangians and nonlocalized quantum field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 36-54. http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a2/
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