Chiral exponents in O(N) x O(m) spin models at O(1/N^2)

TL;DR

This paper calculates chiral critical exponents in O(N) x O(m) models up to second order in 1/N, providing estimates in three dimensions relevant for phase transition studies.

Contribution

It presents the first O(1/N^2) calculations of chiral exponents in O(N) x O(m) models, extending previous leading-order results.

Findings

O(1/N^2) chiral exponents computed

Pade-Borel estimates provided for 3D case

Results applicable to Landau-Ginzburg-Wilson models

Abstract

The critical exponents corresponding to chirality are computed at O(1/N^2) in d-dimensions at the stable chiral fixed point of a scalar field theory with an O(N) x O(m) symmetry. Pade-Borel estimates for the exponents are given in three dimensions for the Landau-Ginzburg-Wilson model at m = 2.