Reduction of the problem of calculating the class of infinite-multiplicity integrals in quantum field theory to the solution of an integral equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 1, pp. 57-65
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A method is proposed for reducing the problem of calculating infinite-multiplicity integrals (3) to the solution of the integral equation (25)–(28). This formalism is applied to the calculation of the two-particle Green's function by means of a Feynman integral.
@article{TMF_1974_20_1_a4,
author = {L. G. Zastavenko},
title = {Reduction of the problem of calculating the class of infinite-multiplicity integrals in quantum field theory to the solution of an~integral equation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {57--65},
year = {1974},
volume = {20},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1974_20_1_a4/}
}
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L. G. Zastavenko. Reduction of the problem of calculating the class of infinite-multiplicity integrals in quantum field theory to the solution of an integral equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 20 (1974) no. 1, pp. 57-65. http://geodesic.mathdoc.fr/item/TMF_1974_20_1_a4/
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[3] L. G. Zastavenko, TMF, 9 (1971), 355
[4] L. G. Zastavenko, TMF, 8 (1971), 335
[5] N. P. Konopleva, V. N. Popov, Kalibrovochnye polya, Atomizdat, 1972 | MR
[6] F. J. Dyson, Phys. Rev., 75 (1949), 1756 | DOI
[7] L. G. Zastavenko, Preprint P2-7114, OIYaI, 1973