Correction to scaling exponents and critical properties of the n-vector model with dimensionality>4

Abstract

A perturbation calculation is given which implies that the susceptibility of the five and six-dimensional n-vector models can be written x approximately At^-1(1+Bt¹2/) and x approximately At^-1(1+Bt In t) respectively, independent of n. For n=0 and 1 it is shown that series analysis techniques can extract the correction-to-scaling' exponents, and that estimates of the critical temperatures and critical amplitudes can also be obtained. The correction-to-scaling exponents found are in agreement with those known to exist in the case of the spherical model.