Geodesic
The $CP^{N-1}$ model: Calculation of anomalous dimensions and the mixing matrices in the order $1/N$
Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 1, pp. 15-30 
A. N. Vasil'ev; M. Yu. Nalimov. The $CP^{N-1}$ model: Calculation of anomalous dimensions and the mixing matrices in the order $1/N$. Teoretičeskaâ i matematičeskaâ fizika, Tome 56 (1983) no. 1, pp. 15-30. http://geodesic.mathdoc.fr/item/TMF_1983_56_1_a1/
@article{TMF_1983_56_1_a1,
     author = {A. N. Vasil'ev and M. Yu. Nalimov},
     title = {The~$CP^{N-1}$ model: {Calculation} of anomalous dimensions and the mixing matrices in the order~$1/N$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {15--30},
     year = {1983},
     volume = {56},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_56_1_a1/}
}
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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 for the $CP^{N-1}$ model quantized by means of the auxiliary fields $\varphi$ and $B$ ($\Phi$ is the principal field, go the auxiliary scalar field, and $B$ the auxiliary vector field) the following are calculated: 1) the matrix of renormalization constants and the corresponding matrix of the anomalous dimensions of the mixed operators $\varphi$ and $B^2$ of canonical dimension $2$; 2) the analogous matrices for the mixed operators $\varphi^2$ and $F_{\alpha\beta}F_{\alpha\beta}$ of canonical dimension $4$, which determine two correction exponents $\omega$; 3) the anomalous dimension $\gamma_\Phi$ in an arbitrary gauge.

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