Fancy and facts in the (d - 2) expansion of non-linear sigma models

E. Brezin; S. Hikami

Fancy and facts in the (d - 2) expansion of non-linear sigma models

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arxiv cond-mat/9612016 v1 pith:V6ASTJFU submitted 1996-12-02 cond-mat.stat-mech

E. Brezin , S. Hikami This is my paper · ORCID

classification cond-mat.stat-mech

keywords expansionmodelsnon-linearoperatorsscalingsigmaanalysisargue

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abstract

We review the existing results on the scaling dimensions of operators with more than two derivatives in the non-linear sigma models. We argue that the speculations on the relevance of these operators, and correspondingly on the breakdown of the $(d-2)$ expansion for the classical Heisenberg model, or for the one-parameter scaling theory of localization, are based on a dubious mathematical analysis.

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