Method of~calculating renormalization-group functions in~the scheme of~dimensional regularization
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 210-217
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A simple and efficient method for computing divergent parts of the Feynman diagrams is proposed which enables one to evaluate analytically all three-loop and almost all four-loop contributions to the renormalization group functions for any renormalizable theory. In order to illustrate the computational technique several examples are considered.
@article{TMF_1980_43_2_a3,
author = {A. A. Vladimirov},
title = {Method of~calculating renormalization-group functions in~the scheme of~dimensional regularization},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {210--217},
publisher = {mathdoc},
volume = {43},
number = {2},
year = {1980},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a3/}
}
TY - JOUR AU - A. A. Vladimirov TI - Method of~calculating renormalization-group functions in~the scheme of~dimensional regularization JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1980 SP - 210 EP - 217 VL - 43 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a3/ LA - ru ID - TMF_1980_43_2_a3 ER -
%0 Journal Article %A A. A. Vladimirov %T Method of~calculating renormalization-group functions in~the scheme of~dimensional regularization %J Teoretičeskaâ i matematičeskaâ fizika %D 1980 %P 210-217 %V 43 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a3/ %G ru %F TMF_1980_43_2_a3
A. A. Vladimirov. Method of~calculating renormalization-group functions in~the scheme of~dimensional regularization. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 210-217. http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a3/