Critical exponent omega at O(1/N) in O(N) x O(m) spin models

TL;DR

This paper calculates the O(1/N) correction to the critical exponent omega in O(N) x O(m) spin models, providing insights into their critical behavior at fixed points.

Contribution

It introduces the first computation of the O(1/N) correction to omega in these models, including constraints on four-loop beta-function coefficients.

Findings

O(1/N) correction to omega at the chiral fixed point

Constraints on four-loop beta-function coefficients

Analysis of stability at fixed points

Abstract

We compute the O(1/N) correction to the stability critical exponent, omega, in the Landau-Ginzburg-Wilson model with O(N) x O(m) symmetry at the stable chiral fixed point and the stable direction at the unstable antichiral fixed point. Several constraints on the O(1/N) coefficients of the four loop perturbative beta-functions are computed.