IRRELEVANCE IN THE (D-2) EXPANSION OF NONLINEAR SIGMA-MODELS AND HEISENBERG MODELS

Authors
BREZIN E HIKAMI S
Citation
E. Brezin et S. Hikami, IRRELEVANCE IN THE (D-2) EXPANSION OF NONLINEAR SIGMA-MODELS AND HEISENBERG MODELS, Physical review. B, Condensed matter, 55(16), 1997, pp. 10169-10172
Citations number
19
Categorie Soggetti
Physics, Condensed Matter
Journal title
Physical review. B, Condensed matter → ACNP
ISSN journal
01631829
Volume
55
Issue
16
Year of publication
1997
Pages
10169 - 10172
Database
ISI
SICI code
0163-1829(1997)55:16<10169:IIT(EO>2.0.ZU;2-Y
Abstract
We review the existing results on the scaling dimensions of operators with more than two derivatives in nonlinear sigma and Heisenberg model s. We argue that speculations on the relevance of these operators, and correspondingly on the breakdown of the (d-2) expansion for the class ical Heisenberg model, or for the one-parameter scaling theory of loca lization, are based on a dubious mathematical analysis.