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

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arxiv hep-th/9705020 v1 pith:UWCC3465 submitted 1997-05-05 hep-th cond-mat

S.E. Derkachov , A.N. Manashov This is my paper · ORCID
classification hep-thcond-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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Disturbing news about the $d=2+\epsilon$ expansion

    hep-th 2025-05 conditional novelty 7.0 of 10

    A protected operator forces the O(N) nonlinear sigma model fixed point in 2+epsilon dimensions to be a different CFT family from the Wilson-Fisher O(N) fixed point for finite N.

  2. Regge trajectories, detectors, and distributions in the critical ${\rm O}(N)$ model

    hep-th 2025-06 conditional novelty 6.0 of 10

    In the critical O(N) model, renormalizing detector and distribution light-ray operators at leading order in 1/N yields Regge intercepts, the leading-twist splitting function, and a BFKL-type anomalous spin.

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