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On the stability problem in the O(N) nonlinear sigma model

S. E. Derkachov, A. N. Manashov

hep-tharXiv:hep-th/9705020

Abstract

The stability problem for the O(N) nonlinear sigma model in the 2+εdimensions is considered. We present the results of the 1/N2 order calculations of the critical exponents (in the 2<d<4 dimensions) of the composite operators relevant for this problem. The arguments in the favor of the scenario with the conventional fixed point are given.

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