An approach to the planar approximation in quantum field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 332-335 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is shown that the following three problems are equivalent: 1) calculation of the planar approximation of the $D$-dimensional matrix model; 2) the scaling limit for the scalar bilocal $D$-dimensional model; 3) the planar approximation for the zerodimensional matrix model with explicit symmetry breaking.
@article{TMF_1982_52_2_a18,
     author = {I. Ya. Aref'eva},
     title = {An~approach to the planar approximation in quantum field theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {332--335},
     year = {1982},
     volume = {52},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a18/}
}
TY  - JOUR
AU  - I. Ya. Aref'eva
TI  - An approach to the planar approximation in quantum field theory
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 332
EP  - 335
VL  - 52
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a18/
LA  - ru
ID  - TMF_1982_52_2_a18
ER  - 
%0 Journal Article
%A I. Ya. Aref'eva
%T An approach to the planar approximation in quantum field theory
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 332-335
%V 52
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a18/
%G ru
%F TMF_1982_52_2_a18
I. Ya. Aref'eva. An approach to the planar approximation in quantum field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 52 (1982) no. 2, pp. 332-335. http://geodesic.mathdoc.fr/item/TMF_1982_52_2_a18/

[1] 'tHooft G., Nucl. Phys., B72:2 (1974), 461–476 | DOI

[2] Veneziano G., Nucl. Phys., B117:3 (1976), 519–538 ; Witten E., Nucl. Phys., B160:1 (1979), 57–84 ; Coleman S., $1/N$. Erice lectures, Preprint SLAC-PUB-2484, 1980, 65 pp. ; Арефьева И. Я., Славнов А. А., Теория калибровочных полей, Препринт Д2-81-158, ОИЯИ, Дубна, 1980, 36–100 | DOI | MR | DOI | MR | MR | MR

[3] Brezin E., Itzycson C., Parisi G., Zuber J. B., Commun. Math. Phys., 59:1 (1978), 35–51 | DOI | MR | Zbl

[4] Makeenko Yu. M., Migdal A. A., Phys. Lett., 89B:6 (1980), 437–440

[5] Cvitanović P., Phys. Lett., 99B:1 (1981), 49–52 | DOI

[6] Aref'eva I. Ya., Phys. Lett., 104B:6 (1981), 453–457 | DOI

[7] Coleman S., Jackiw R., Politzer H., Phys. Rev., D10:8 (1974), 2491–2494

[8] Arefeva I. Ya., TMF, 29:2 (1976), 147–153 | MR

[9] Slavnov A. A., Phys. Lett., 112B:2 (1982), 154–157 | DOI | MR

[10] Mehta M. L., Random matrices, Acad. Press, New York, London, 1967 | MR