On the stability problem in the O(N) nonlinear sigma model
classification
✦ hep-th
cond-mat
keywords
problemdimensionsmodelnonlinearsigmastabilityargumentscalculations
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The stability problem for the O(N) nonlinear sigma model in the 2+\epsilon dimensions is considered. We present the results of the 1/N^{2} 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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