Nonpolynomial Lagrangians (higher perturbation orders)
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 273-287
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It is shown that a theory with a nonpolynomial Lagrangian remains finite in higher perturbation orders in the principal coupling constant $G$. It is also shown that the $S$ matrix remains
unitary in the third perturbation order in $G$. The order of growth of the scattering amplitude is found in an arbitrary perturbation order.
@article{TMF_1972_11_3_a0,
author = {M. K. Volkov},
title = {Nonpolynomial {Lagrangians} (higher perturbation orders)},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {273--287},
publisher = {mathdoc},
volume = {11},
number = {3},
year = {1972},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a0/}
}
M. K. Volkov. Nonpolynomial Lagrangians (higher perturbation orders). Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 3, pp. 273-287. http://geodesic.mathdoc.fr/item/TMF_1972_11_3_a0/