An Empty Chiral Rotation for the Adler-Bell-Jackiw Anomaly

Israel Weimin Sun

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arXiv · 1906.04007

An Empty Chiral Rotation for the Adler-Bell-Jackiw Anomaly

Israel Weimin Sun

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Abstract

This is an article which intends to shake down the traditional belief that the celebrated Adler-Bell-Jackiw anomaly stems from the chiral rotation non-invariance of the fermionic measure. The fermionic functional integration measure in quantum field theory should be defined so as to reproduce the standard Feynman diagrammatic expansion. This implies that a plain definition of the fermionic measure automatically serves such a purpose. A dilemma then arises: how could one identify the ABJ anomaly as a nontrivial Jacobian factor for a chiral transformation ? The true answer is indeed surprising and unexpected, that is, the Jacobian factor is actually a random and indeterminate object, hence it carries no physical information. A true explanation for the ABJ anomaly is suggested.

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Israel Weimin Sun. 2019-06-06. An Empty Chiral Rotation for the Adler-Bell-Jackiw Anomaly. https://arxiv.org/abs/1906.04007

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