Simple parametric integral representations of the regular (finite) and singular parts of divergent Feynman amplitudes. I.~General expressions
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 355-365
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Simple expressions are obtained that describe the regular (finite) and singular parts of the divergent Feynman amplitudes of the lowest nontrivial orders of perturbation theory irrespective of the form of the matrix elements and the type of quantum-field models with polynomial and quasipolynomial interaction in $n$-dimensional space-time.
@article{TMF_1982_51_3_a5,
author = {V. I. Kucheryavyi},
title = {Simple parametric integral representations of the regular (finite) and singular parts of divergent {Feynman} amplitudes. {I.~General} expressions},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {355--365},
publisher = {mathdoc},
volume = {51},
number = {3},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a5/}
}
TY - JOUR AU - V. I. Kucheryavyi TI - Simple parametric integral representations of the regular (finite) and singular parts of divergent Feynman amplitudes. I.~General expressions JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1982 SP - 355 EP - 365 VL - 51 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a5/ LA - ru ID - TMF_1982_51_3_a5 ER -
%0 Journal Article %A V. I. Kucheryavyi %T Simple parametric integral representations of the regular (finite) and singular parts of divergent Feynman amplitudes. I.~General expressions %J Teoretičeskaâ i matematičeskaâ fizika %D 1982 %P 355-365 %V 51 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a5/ %G ru %F TMF_1982_51_3_a5
V. I. Kucheryavyi. Simple parametric integral representations of the regular (finite) and singular parts of divergent Feynman amplitudes. I.~General expressions. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 3, pp. 355-365. http://geodesic.mathdoc.fr/item/TMF_1982_51_3_a5/