Geodesic
Chiral field model and universality in three-dimensional space. II
Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 2, pp. 220-235 
E. R. Nisimov; S. I. Pacheva. Chiral field model and universality in three-dimensional space. II. Teoretičeskaâ i matematičeskaâ fizika, Tome 41 (1979) no. 2, pp. 220-235. http://geodesic.mathdoc.fr/item/TMF_1979_41_2_a5/
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     author = {E. R. Nisimov and S. I. Pacheva},
     title = {Chiral field model and universality in three-dimensional {space.~II}},
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     volume = {41},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_41_2_a5/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the framework of the noncanonically renormalized (with soft mass) $1/N$ expansion of the $O(N)$ $(\varphi^2)_3^2$ model (which is free of infrared divergences) constructed in Part I we prove the existence of a critical limit and that this limit coincides with the conformally invariant critical theory of the $O(N)$ – invariant chiral field. The proof makes essential use of generalized quantum chirality relations of the limiting universal theory. We construct a $1/N$ expansion of the superrenormalizable “temperature” and “magnetic” perturbations of the pre-asymptotic and critical theories, which is important for the field-theoretical description of critical behavior.

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