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

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

1994-07-14

arxiv.org/abs/hep-lat/9407008v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, report no. IFUP-TH 44/94

Scientific paper

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.

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