Abstract

1975 In this note Ward identity anomalies for axial vector current in the Thirring model with internal symmetry are deduced following Zimmermann's cutoff-independent normal product algorithm. After the pioneering work of Adler about the Ward identity anomaly for axial vector current in quantum electrodynamics, there have been various attempts to explore the analogous situation in other field theories. The only available tool being the perturbation theory. But such calculations involve ambiguous manipula­ tions of the infinite quantities due to the divergence difficulties of the perturba­ tion technique. In recent times two concrete methods have been suggested to overcome such difficulties. The first one is the renormalization technique of BPHn and the second is the operator product expansions of Wilson. 2J The two

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