Low-temperature expansion in link formulation. II

Abstract

We extend our previous analysis to arbitrary two dimensional SU(N) principal chiral model in a link formulation. A general expression for the second order coefficient of fixed distance correlation function is given in terms of Green functions. This coefficient is calculated for distance 1 and is proven to be path independent. We also study the weak coupling expansion of the free energy of one dimensional SU(N) model and explain why it is non-uniform in the volume. Further, we investigate the contribution of holonomy operators to the low-temperature expansion in two dimensions. All our results agree with the conventional expansion. Nevertheless, we give some example which indicates that the expansion in the link formulation can also suffer from ambiguities previously found in the conventional perturbation theory.