Geodesic
Operator method of solving renormalization group equations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 613-621 
V. V. Belokurov; V. V. Kamchatnii. Operator method of solving renormalization group equations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 1 (1995) no. 3, pp. 613-621. http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a2/
@article{FPM_1995_1_3_a2,
     author = {V. V. Belokurov and V. V. Kamchatnii},
     title = {Operator method of solving renormalization group equations},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {613--621},
     year = {1995},
     volume = {1},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a2/}
}
TY  - JOUR
AU  - V. V. Belokurov
AU  - V. V. Kamchatnii
TI  - Operator method of solving renormalization group equations
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 1995
SP  - 613
EP  - 621
VL  - 1
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a2/
LA  - ru
ID  - FPM_1995_1_3_a2
ER  - 
%0 Journal Article
%A V. V. Belokurov
%A V. V. Kamchatnii
%T Operator method of solving renormalization group equations
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1995
%P 613-621
%V 1
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_1995_1_3_a2/
%G ru
%F FPM_1995_1_3_a2

Voir la notice de l'article provenant de la source Math-Net.Ru

A new method of solving functional renormalization group equations is proposed. The method is based on representation of the relations for coefficients in perturbation theory series for invariant charge and Green functions as some operator equations. Operator representation of renormalization group equations appears to be particularly convenient for finding approximate solutions when some first terms in perturbation theory for quantities to be found are known.

[1] Shirkov D. V., Int. J. Mod. Phys, A3 (1988), 1321

[2] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, 4 izd., Nauka, M., 1984, 600 pp. | MR