A renormalization procedure recursive with respect to the number of loops
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 177-186
Cet article a éte moissonné depuis la source Math-Net.Ru
A new renormalization procedure that is recursive with respect to the number of independent loops is proposed for Feynman amplitudes. It is based on subtraction of the “bad” ultraviolet asymptotic behaviors with respect to the loop momentum.
@article{TMF_1982_52_2_a1,
author = {V. A. Il'in and M. S. Imashev and D. A. Slavnov},
title = {A~renormalization procedure recursive with respect to the number of loops},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {177--186},
year = {1982},
volume = {52},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a1/}
}
TY - JOUR AU - V. A. Il'in AU - M. S. Imashev AU - D. A. Slavnov TI - A renormalization procedure recursive with respect to the number of loops JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1982 SP - 177 EP - 186 VL - 52 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a1/ LA - ru ID - TMF_1982_52_2_a1 ER -
V. A. Il'in; M. S. Imashev; D. A. Slavnov. A renormalization procedure recursive with respect to the number of loops. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 177-186. http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a1/
[1] Weinberg S., Phys. Rev., 118:3 (1960), 838–849 ; Славнов Д. А., ТМФ, 17:2 (1973), 169–177 | DOI | MR | Zbl | MR
[2] Teilor Dzh., Kalibrovochnye teorii slabykh vzaimodeistvii, Mir, M., 1978
[3] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1973 | MR | Zbl
[4] Khepp K., Teoriya perenormirovok, Nauka, M., 1974 | MR
[5] Zavyalov O. I., Perenormirovannye diagrammy Feinmana, Nauka, M., 1979 | MR
[6] Speer E., J. Math. Phys., 15:1 (1974), 1–6 | DOI | MR
[7] 'tHooft G., Velman M., Nucl. Phys., B44:1 (1972), 189–213 | DOI | MR