Geodesic
Approximate renormalization group transformation in the theory of phase transitions. I. Differential equation of the renormalization group
Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 2, pp. 313-320 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

An approximate differential equation of the renormalization group for a $d$-dimensional system with degenerate $n$-component order parameter is found by the methods of functional integration without the use of perturbation theory. 
@article{TMF_1982_50_2_a12,
     author = {I. A. Vakarchuk and Yu. K. Rudavskii and I. R. Yukhnovskii},
     title = {Approximate renormalization group transformation in the~theory of phase transitions. {I.~Differential} equation of the~renormalization group},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {313--320},
     year = {1982},
     volume = {50},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a12/}
}
TY  - JOUR
AU  - I. A. Vakarchuk
AU  - Yu. K. Rudavskii
AU  - I. R. Yukhnovskii
TI  - Approximate renormalization group transformation in the theory of phase transitions. I. Differential equation of the renormalization group
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 313
EP  - 320
VL  - 50
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a12/
LA  - ru
ID  - TMF_1982_50_2_a12
ER  - 
%0 Journal Article
%A I. A. Vakarchuk
%A Yu. K. Rudavskii
%A I. R. Yukhnovskii
%T Approximate renormalization group transformation in the theory of phase transitions. I. Differential equation of the renormalization group
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 313-320
%V 50
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a12/
%G ru
%F TMF_1982_50_2_a12
I. A. Vakarchuk; Yu. K. Rudavskii; I. R. Yukhnovskii. Approximate renormalization group transformation in the theory of phase transitions. I. Differential equation of the renormalization group. Teoretičeskaâ i matematičeskaâ fizika, Tome 50 (1982) no. 2, pp. 313-320. http://geodesic.mathdoc.fr/item/TMF_1982_50_2_a12/

[1] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1973 | MR | Zbl

[2] Vilson K., Kogut Dzh., Renormalizatsionnaya gruppa i $\varepsilon$-razlozhenie, Mir, M., 1975

[3] Stenli G. E., Fazovye perekhody i kriticheskie yavleniya, Mir, M., 1973

[4] Brout R., Phys. Rep., C10 (1974), 2

[5] Patashinskii A. Z., Pokrovskii V. L., Fluktuatsionnaya teoriya fazovykh perekhodov, Nauka, M., 1975 | MR

[6] Stanley H. E., Phys. Rev. Lett., 20 (1968), 150 | DOI

[7] Yukhnovsky I. R., Vakarchuk I. A., Rudavsky Yu. K., Preprint ITP-79-20E, ITP, Kiev, 1979

[8] Vakarchuk I. A., Rudavsky Yu. K., Preprint ITP-79-47E, ITP, Kiev, 1979

[9] Vakarchuk I. A., TMF, 35 (1978), 76 ; 36, 122

[10] Vakarchuk I. A., Rudavsky Yu. K., Preprint ITP-79-62E, ITP, Kiev, 1979

[11] Berlin T. H., Kac M., Phys. Rev., 86 (1952), 821 | DOI | MR | Zbl

[12] Ma S.-K., Modern theory of critical phenomena, W. A. Benjamin Inc., 1976

[13] Patashinskii A. Z., Pokrovskii V. L., UFN, 121 (1977), 55 | DOI | MR

[14] Yukhnovskii I. R., Preprint ITF-76-15R, ITF, Kiev, 1976; ДАН СССР, 232 (1977), 312 ; УФЖ, 22 (1977), 325; 484; ТМФ, 36 (1978), 373