Comment on A. Patrascioiu and E. Seiler's paper ``Nonuniformity of the $1/N$ Expansion for Two-Dimensional $O(N)$ Models''

Abstract

We remind that the non-uniformity in the temperature of the $1/N$ expansion for dimensionful quantities pointed out in Patrascioiu and Seiler's paper is not only compatible with but is predicted by asymptotic freedom, and it is present in the continuum as well as on the lattice. The convergence of the $1/N$ expansion for adimensional quantities is perfectly uniform.