Geodesic
Critical dimensions of composite operators in the nonlinear $\sigma$-model
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 3, pp. 379-400

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A general scheme for calculating critical exponents of an arbitrary system of composite operators mixed by a renormalization procedure is presented using $1/N$ expansion. Restrictions imposed on the mixing matrix by the conformal invariance are investigated. The anomalous dimensions of all powerlike products of an auxiliary field are calculated up to the second order in $1/N$. 
@article{TMF_1998_116_3_a5,
     author = {S. \`E. Derkachev and A. N. Manashov},
     title = {Critical dimensions of composite operators in the nonlinear $\sigma$-model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {379--400},
     publisher = {mathdoc},
     volume = {116},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a5/}
}
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S. È. Derkachev; A. N. Manashov. Critical dimensions of composite operators in the nonlinear $\sigma$-model. Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 3, pp. 379-400. http://geodesic.mathdoc.fr/item/TMF_1998_116_3_a5/