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

Adrian Patrascioiu·Erhard Seiler
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Abstract

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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Adrian Patrascioiu, Erhard Seiler. 1997-02-08. Questionable Arguments for the Correctness of Perturbation Theory in Non-Abelian Models. https://doi.org/10.1103/physrevd.57.1394

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