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

TL;DR

This paper investigates the stability of the O(N) nonlinear sigma model in 2+ε dimensions, providing higher-order calculations of critical exponents and supporting the conventional fixed point scenario.

Contribution

It offers 1/N^2 order calculations of critical exponents for composite operators in the model, advancing understanding of its stability in higher dimensions.

Findings

Critical exponents calculated at 1/N^2 order

Support for the conventional fixed point scenario

Analysis extends to 2<d<4 dimensions

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.