English

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

Statistical Mechanics 2008-02-03 v1

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 (d2)(d-2) expansion for the classical Heisenberg model, or for the one-parameter scaling theory of localization, are based on a dubious mathematical analysis.

Keywords

Cite

@article{arxiv.cond-mat/9612016,
  title  = {Fancy and facts in the (d - 2) expansion of non-linear sigma models},
  author = {E. Brezin and S. Hikami},
  journal= {arXiv preprint arXiv:cond-mat/9612016},
  year   = {2008}
}

Comments

9 pages, latex