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/}
}
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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/