Non perturbative Adler-Bardeen Theorem

Abstract

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.

arXiv comment28 pages, 14 figures

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• Ward identities and Chiral anomaly in the Luttinger liquid
• Thermodynamic Properties of Non-Equilibrium States in Quantum Field Theory
• Renormalization Group, hidden symmetries and approximate Ward identities in the XYZ model, I

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