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The fate of the axial anomaly in a finite field theory

Grangé, Pierre ; Mathiot, Jean-François ; Werner, Ernst


The conservation of the vector current and the axial anomaly responsible for the pi(0) -> gamma gamma decay amplitude are obtained in leading order within the Taylor-Lagrange formulation of fields considered as operator-valued distributions. As for gauge theories, where this formulation eliminates all divergences and preserves gauge symmetry, it is shown that the different contributions can be ...


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