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

1996/12/02 by E. Brezin, Brezin, E., S. Hikami +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/9612016

9 pages, latex

arxiv created 1996/12/02 · arxiv updated 2009/11/30

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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