Non perturbative Adler-Bardeen Theorem

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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28 pages, 14 figures

Scientific paper

10.1063/1.2436731

The Adler-Bardeen theorem has been proved only as a statement valid at all
orders in perturbation theory, without any control on the convergence of the
series. In this paper we prove a nonperturbative version of the Adler-Bardeen
theorem in $d=2$ by using recently developed technical tools in the theory of
Grassmann integration.

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