Geodesic
Regular expansion for calculation of the renormalization-group functions in a theory with dimensional coupling constants
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 2, pp. 210-224 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A new regular (possessing a small parameter $\zeta$) expansion for calculating the renormalization-group functions in the theory with interaction $g\Phi^4+\lambda\Phi^6$ directly in three-dimensional space is constructed. Depending on the values of the renormalized charges, the theory exhibits regular tricritical or critical behavior. The critical exponents calculated in the first order in $\zeta$ are equal to those calculated in the framework of the $4-\varepsilon$-expansion. 
@article{TMF_1986_68_2_a4,
     author = {M. Yu. Nalimov},
     title = {Regular expansion for calculation of the renormalization-group functions in a~theory with dimensional coupling constants},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {210--224},
     year = {1986},
     volume = {68},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a4/}
}
TY  - JOUR
AU  - M. Yu. Nalimov
TI  - Regular expansion for calculation of the renormalization-group functions in a theory with dimensional coupling constants
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1986
SP  - 210
EP  - 224
VL  - 68
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a4/
LA  - ru
ID  - TMF_1986_68_2_a4
ER  - 
%0 Journal Article
%A M. Yu. Nalimov
%T Regular expansion for calculation of the renormalization-group functions in a theory with dimensional coupling constants
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1986
%P 210-224
%V 68
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a4/
%G ru
%F TMF_1986_68_2_a4
M. Yu. Nalimov. Regular expansion for calculation of the renormalization-group functions in a theory with dimensional coupling constants. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 2, pp. 210-224. http://geodesic.mathdoc.fr/item/TMF_1986_68_2_a4/

[1] Patashinskii A. Z., Pokrovskii V. L., Fluktuatsionnaya teoriya fazovykh perekhodov, Nauka, M., 1982 | MR

[2] Wilson K. G., Kogut J., Phys. Rep., 12:2 (1974), 75–199 | DOI

[3] Abe R., Progr. Theor. Phys., 49:1 (1973), 113–128 | DOI

[4] Gorodetskii E. E., Zaprudskii V. M., ZhETF, 72:6 (1977), 2299–2308

[5] Sokolov A. I., ZhETF, 77:4 (1979), 1598–1614

[6] Dorogovtsev S. N., J. Phys. A, 17 (1984), 677–679 | DOI

[7] Vladimirov A. A., TMF, 36:2 (1978), 271–278 | MR

[8] Vasilev A. N., Nalimov M. Yu., TMF, 55:2 (1983), 163–175 | MR

[9] 't Hooft G., Veltman M., Nucl. Phys. B, 44:1 (1972), 189–213 | DOI | MR