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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     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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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/

[1] Hikami S., Progr. Theor. Phys., 62 (1979), 226–232 | DOI

[2] Brezin E., Le Guillou J. G., Zinn-Justin J., Phase Transitions and Critical Phenomena, eds. C. Domb, M. Green, Academic Press, N.-Y., 1976 | MR

[3] Vasilev A. N., Pismak Yu. M., Khonkonen Yu. R., TMF, 50:2 (1982), 195–206

[4] Okabe Y., Oku M., Abe R., Progr. Theor. Phys., 60 (1978), 1277–1297 | DOI

[5] Vasilev A. N., Pismak Yu. M., Khonkonen Yu. R., TMF, 47:3 (1981), 291–306

[6] Slavnov A. A., Faddeev L. D., Vvedenie v kvantovuyu teoriyu kalibrovochnykh polei, Nauka, M., 1978 | MR

[7] Vasilev A. N., Nalimov M. Yu., TMF, 55:2, 163–175 | MR

[8] Aref'eva I., Azakov S., Nucl. Phys., B162 (1980), 298–310 | DOI | MR

[9] Vladimirov A. A., TMF, 43:2 (1980), 210–217

[10] Halperin B. I., Lubensky T., Ma S. K., Phys. Rev. Lett., 32 (1974), 292–295 | DOI