Diagram technique of $1/N$ expansion in a matrix model of field theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 3, pp. 368-380
Cet article a éte moissonné depuis la source Math-Net.Ru
In the framework of the method of singlet bilocal variables, a $1/N$ expansion and corresponding diagram technique in a theory containing matrix fields are constructed. The asymptotic behaviors of the propagator of a singlet bilocal variable are investigated, as are possible ultraviolet divergences.
@article{TMF_1986_66_3_a3,
author = {N. V. Goncharov and A. A. Slavnov},
title = {Diagram technique of $1/N$~expansion in a~matrix model of field theory},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {368--380},
year = {1986},
volume = {66},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_3_a3/}
}
TY - JOUR AU - N. V. Goncharov AU - A. A. Slavnov TI - Diagram technique of $1/N$ expansion in a matrix model of field theory JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1986 SP - 368 EP - 380 VL - 66 IS - 3 UR - http://geodesic.mathdoc.fr/item/TMF_1986_66_3_a3/ LA - ru ID - TMF_1986_66_3_a3 ER -
N. V. Goncharov; A. A. Slavnov. Diagram technique of $1/N$ expansion in a matrix model of field theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 3, pp. 368-380. http://geodesic.mathdoc.fr/item/TMF_1986_66_3_a3/
[1] 't Hooft G., Nucl. Phys., B72:3 (1974), 461–470 | DOI
[2] 't Hooft G., Nucl. Phys., B75:3 (1974), 461–470 | DOI
[3] Callan G. G., Coote Ir. N., Gross D. S., Phys. Rev., D13:6 (1976), 1649–1669
[4] Coleman S., $1/N$, Preprint, SLAC-24846, 1980 | MR
[5] Slavnov A. A., Phys. Lett., B112:2 (1982), 154–156 | DOI | MR
[6] Slavnov A. A., TMF, 54:1 (1983), 52–56
[7] Arefeva I. Ya., TMF, 29:2 (1976), 147–153 | MR
[8] Erdeii A., Asimptoticheskie razlozheniya, Fizmatgiz, M., 1962