English

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

High Energy Physics - Theory 2009-10-30 v1 Condensed Matter

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9705020,
  title  = {On the stability problem in the O(N) nonlinear sigma model},
  author = {S. E. Derkachov and A. N. Manashov},
  journal= {arXiv preprint arXiv:hep-th/9705020},
  year   = {2009}
}

Comments

9 pages, revtex, 1 Postscript figure

R2 v1 2026-07-22T16:04:51.709Z