Geodesic
Nonlinear $\sigma$ model in the case of $N\times\alpha N$ rectangular matrices in two-dimensional Euclidean space
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 367-376

Voir la notice de l'article provenant de la source Math-Net.Ru

The matrix nonlinear $\sigma$ model in the case of $N\times\alpha N$ rectangular matrices is considered. It is shown that in two-dimensional Euclidean space the model is renormalizable with respect to $\alpha$ and $1/N$. The fulfillment of the chirality identity is demonstrated in the operator expansion for the renormalized theory. 
@article{TMF_1985_63_3_a4,
     author = {L. O. Chekhov},
     title = {Nonlinear $\sigma$ model in the case of $N\times\alpha N$ rectangular matrices in two-dimensional {Euclidean} space},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {367--376},
     publisher = {mathdoc},
     volume = {63},
     number = {3},
     year = {1985},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a4/}
}
TY  - JOUR
AU  - L. O. Chekhov
TI  - Nonlinear $\sigma$ model in the case of $N\times\alpha N$ rectangular matrices in two-dimensional Euclidean space
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1985
SP  - 367
EP  - 376
VL  - 63
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a4/
LA  - ru
ID  - TMF_1985_63_3_a4
ER  - 
%0 Journal Article
%A L. O. Chekhov
%T Nonlinear $\sigma$ model in the case of $N\times\alpha N$ rectangular matrices in two-dimensional Euclidean space
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1985
%P 367-376
%V 63
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a4/
%G ru
%F TMF_1985_63_3_a4
L. O. Chekhov. Nonlinear $\sigma$ model in the case of $N\times\alpha N$ rectangular matrices in two-dimensional Euclidean space. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 3, pp. 367-376. http://geodesic.mathdoc.fr/item/TMF_1985_63_3_a4/