Geodesic
Minimal $R$~operation in the $1/N$~expansion of $\sigma$~models
Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 1, pp. 52-67

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The renormalization structure of the $1/N$ expansion in $\sigma$ models is investigated. It is shown that the theory is renormalized by an $R$ operation in which subtractions are made only for some of the subgraphs with non-negative degree (of divergence). In contrast to the standard renormalization, such a renormalization manifestly preserves the nonlinear symmetry of the $\sigma$ model. 
@article{TMF_1986_67_1_a5,
     author = {V. K. Krivoshchekov and P. B. Medvedev},
     title = {Minimal $R$~operation in the $1/N$~expansion of $\sigma$~models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {52--67},
     publisher = {mathdoc},
     volume = {67},
     number = {1},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a5/}
}
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V. K. Krivoshchekov; P. B. Medvedev. Minimal $R$~operation in the $1/N$~expansion of $\sigma$~models. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 1, pp. 52-67. http://geodesic.mathdoc.fr/item/TMF_1986_67_1_a5/