One-loop counter-terms in theories regularized by higher covariant derivatives
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 1, pp. 137-147
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In an arbitrary field-theory model regularized by the higher covariant derivative method, expressions for one-loop logarithmic divergences are shown to be consistent with the dimensional regularization; the precise form of the regularization terms is irrelevant. Therefore, we explicitly check the self-consistency of the higher derivatives method on the one-loop level. The calculation for the Yang–Mills theory is given.
@article{TMF_1998_114_1_a7,
author = {P. I. Pronin and K. V. Stepanyantz},
title = {One-loop counter-terms in theories regularized by higher covariant derivatives},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {137--147},
publisher = {mathdoc},
volume = {114},
number = {1},
year = {1998},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a7/}
}
TY - JOUR AU - P. I. Pronin AU - K. V. Stepanyantz TI - One-loop counter-terms in theories regularized by higher covariant derivatives JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1998 SP - 137 EP - 147 VL - 114 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a7/ LA - ru ID - TMF_1998_114_1_a7 ER -
%0 Journal Article %A P. I. Pronin %A K. V. Stepanyantz %T One-loop counter-terms in theories regularized by higher covariant derivatives %J Teoretičeskaâ i matematičeskaâ fizika %D 1998 %P 137-147 %V 114 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a7/ %G ru %F TMF_1998_114_1_a7
P. I. Pronin; K. V. Stepanyantz. One-loop counter-terms in theories regularized by higher covariant derivatives. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 1, pp. 137-147. http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a7/