Questionable Arguments for the Correctness of Perturbation Theory in Non-Abelian Models

Details Questionable Arguments for the Correctness of Perturbation Theory in Non-Abelian Models Questionable Arguments for the Correctness of Perturbation Theory in Non-Abelian Models

1997-02-08

arxiv.org/abs/hep-lat/9702008v1

Phys.Rev. D57 (1998) 1394-1396

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages

Scientific paper

10.1103/PhysRevD.57.1394

We analyze the arguments put forward recently by Niedermayer et al in favor of the correctness of conventional perturbation theory in non-Abelian models and supposedly showing that our super-instanton counterexample was sick. We point out that within their own set of assumptions, the proof of Niedermayer et al regarding the correctness of perturbation theory is incorrect and provide a correct proof under more restrictive assumptions. We reply also to their claim that the S-matrix bootstrap approach of Balog et al supports the existence of asymptotic freedom in the O(3) model.

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