Calculation of~the superpropagators of~massive particles in~nonpolynomial quantum field theories
Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 2, pp. 184-194
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A method of constructing the superpropagators of massive particles, i.e. the Fouries transforms of the two point Green's functions $F(x)=\sum_{n=1}^\infty c(n)[\lambda\Delta_F(x)]^n$ in the quantum field theories with nonpolynomial Lagrangians is proposed. The method is based on applying definite differential operators in the coupling constant $\lambda$ to the simplest superpropagator
for which the modified perturbation theory expansion in the powers of $\lambda$
and $\ln\lambda$ is found.
@article{TMF_1980_42_2_a2,
author = {N. M. Atakishiyev and A. T. Filippov},
title = {Calculation of~the superpropagators of~massive particles in~nonpolynomial quantum field theories},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {184--194},
publisher = {mathdoc},
volume = {42},
number = {2},
year = {1980},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1980_42_2_a2/}
}
TY - JOUR AU - N. M. Atakishiyev AU - A. T. Filippov TI - Calculation of~the superpropagators of~massive particles in~nonpolynomial quantum field theories JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1980 SP - 184 EP - 194 VL - 42 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1980_42_2_a2/ LA - ru ID - TMF_1980_42_2_a2 ER -
%0 Journal Article %A N. M. Atakishiyev %A A. T. Filippov %T Calculation of~the superpropagators of~massive particles in~nonpolynomial quantum field theories %J Teoretičeskaâ i matematičeskaâ fizika %D 1980 %P 184-194 %V 42 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1980_42_2_a2/ %G ru %F TMF_1980_42_2_a2
N. M. Atakishiyev; A. T. Filippov. Calculation of~the superpropagators of~massive particles in~nonpolynomial quantum field theories. Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 2, pp. 184-194. http://geodesic.mathdoc.fr/item/TMF_1980_42_2_a2/