Corrections to the asymptotic expressions for the higher orders of perturbation theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 3, pp. 363-372 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A technique is developed for calculating the corrections in $1/n$ to the asymptotic expression for the $n$-th term of the perturbation series for the example of the scalar massless model $\varphi_{(4)}^4$ with internal symmetry $O(N)$. The first correction for the $\beta$ function is obtained.
@article{TMF_1983_57_3_a3,
     author = {Yu. A. Kubyshin},
     title = {Corrections to the asymptotic expressions for the higher orders of perturbation theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {363--372},
     year = {1983},
     volume = {57},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a3/}
}
TY  - JOUR
AU  - Yu. A. Kubyshin
TI  - Corrections to the asymptotic expressions for the higher orders of perturbation theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 363
EP  - 372
VL  - 57
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a3/
LA  - ru
ID  - TMF_1983_57_3_a3
ER  - 
%0 Journal Article
%A Yu. A. Kubyshin
%T Corrections to the asymptotic expressions for the higher orders of perturbation theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 363-372
%V 57
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a3/
%G ru
%F TMF_1983_57_3_a3
Yu. A. Kubyshin. Corrections to the asymptotic expressions for the higher orders of perturbation theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 3, pp. 363-372. http://geodesic.mathdoc.fr/item/TMF_1983_57_3_a3/

[1] Lipatov L. N., ZhETF, 72:2 (1977), 411–427 | MR

[2] Brezin E., Le Guillou J. C., Zinn-Justin J., Phys. Rev., D15:6 (1977), 1544–1557 | MR

[3] Spencer T., Commun. Math. Phys., 74:3 (1980), 273–280 | DOI | MR

[4] Loeffel J. J., Martin A., Cargese Lectures in Physics, 5, N.-Y., 1972, 415–429 | MR

[5] Parisi G., Phys. Lett., B66:2 (1977), 167–169 | DOI

[6] Bogomolny E. B., Phys. Lett., B67:2 (1977), 193–194 | DOI

[7] Dittes F. M., Kubyshin Yu. A., Tarasov O. V., TMF, 37:1 (1978), 66–73 | MR

[8] Bender C. M., Wu T. T., Phys. Rev., D7:6 (1973), 1620–1636; Collins J. C., Soper D. E., Ann. of Phys., 112:1 (1978), 209–234 | DOI | MR

[9] Figerou V. R., Commun. Math. Phys., 79:3 (1981), 401–433 | DOI | MR

[10] Kazakov D. I., Tarasov O. V., Shirkov D. V., TMF, 38:1 (1979), 15–25 | MR

[11] Bogolyubov N. N., Shirkov D. V., Vvedenie v teoriyu kvantovannykh polei, Nauka, M., 1976, 479 pp. | MR

[12] Mc Kane A. J., Wallace D. J., J. of Phys., A11:11 (1978), 2285–2304 ; Drummond I. T., Shore G. M., Ann. of Phys., 121:1–2 (1979), 204–226 | MR | DOI

[13] Dowker J. C., Critchley R., Phys. Rev., D13:2 (1976), 224–234 | MR

[14] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, t. I, Nauka, M., 1973, 294 pp. | MR

[15] Gradshtein I. S., Ryzhik I. M., Tablitsy integralov, summ, ryadov i proizvedenii, Nauka, M., 1971, 1108 pp. | MR