Geodesic
$1/N$ expansion: Calculation of anomalous dimensions and mixing matrices in the order $1/N$ for $N\times p$ matrix gauge-invariant $\sigma$-model
Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 169-183

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

In the first order in $1/N$ for arbitrary dimension $2$ of space the following quantities are calculated for the $N\times p$ matrix $\sigma$ model [1] quantized by means of auxiliary scalar ($\varphi$) and vector ($B_\mu$) matrix fields: 1) the anomalous dimensions of all the fields; 2) the matrix of the anomalous dimensions of the mixed operators $\varphi$ and $B^2$ of the canonical dimension 2; 3) the matrix of the anomalous dimensions of the four mixed gauge-invariant composite operators of the type $\varphi^2$ and $G_{\mu \nu}G_{\mu \nu}$ of canonical dimension 4 determining four critical exponents $\omega$. 
@article{TMF_1984_58_2_a1,
     author = {A. N. Vasil'ev and M. Yu. Nalimov and Yu. R. Khonkonen},
     title = {$1/N$ expansion: {Calculation} of anomalous dimensions and mixing matrices in the order $1/N$ for $N\times p$ matrix gauge-invariant $\sigma$-model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {169--183},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a1/}
}
TY  - JOUR
AU  - A. N. Vasil'ev
AU  - M. Yu. Nalimov
AU  - Yu. R. Khonkonen
TI  - $1/N$ expansion: Calculation of anomalous dimensions and mixing matrices in the order $1/N$ for $N\times p$ matrix gauge-invariant $\sigma$-model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1984
SP  - 169
EP  - 183
VL  - 58
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a1/
LA  - ru
ID  - TMF_1984_58_2_a1
ER  - 
%0 Journal Article
%A A. N. Vasil'ev
%A M. Yu. Nalimov
%A Yu. R. Khonkonen
%T $1/N$ expansion: Calculation of anomalous dimensions and mixing matrices in the order $1/N$ for $N\times p$ matrix gauge-invariant $\sigma$-model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1984
%P 169-183
%V 58
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a1/
%G ru
%F TMF_1984_58_2_a1
A. N. Vasil'ev; M. Yu. Nalimov; Yu. R. Khonkonen. $1/N$ expansion: Calculation of anomalous dimensions and mixing matrices in the order $1/N$ for $N\times p$ matrix gauge-invariant $\sigma$-model. Teoretičeskaâ i matematičeskaâ fizika, Tome 58 (1984) no. 2, pp. 169-183. http://geodesic.mathdoc.fr/item/TMF_1984_58_2_a1/