Comment on "Superinstantons and the Reliability of Perturbation Theory in Non-Abelian Models"

Details Comment on "Superinstantons and the Reliability of Perturbation Theory in Non-Abelian Models" Comment on "Superinstantons and the Reliability of Perturbation Theory in Non-Abelian Models"

1995-04-26

arxiv.org/abs/hep-lat/9504017v1

Phys.Rev.Lett. 75 (1995) 2626

Physics

High Energy Physics

High Energy Physics - Lattice

1 page, REVTeX, no figures

Scientific paper

10.1103/PhysRevLett.75.2626

In a recent letter (hep-lat/9311019) A. Patrascioiu and E. Seiler argued that when taking into account "superinstantons configurations" the perturbative expansion and the beta-function of the two-dimensional non-linear sigma-model are modified at two loops order. I point out that: (1) perturbation theory in a superinstanton background is infra-red singular beyond three loops; (2) the new infra-red singular terms, which change the two loop terms, come from singular operators - describing superinstanton insertions - in the OPE; (3) taking into account these operators, the beta-function is not modified. Therefore the results of Patrascioiu and Seiler do not contradict perturbation theory.

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