An Empty Chiral Rotation for the Adler-Bell-Jackiw Anomaly
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.
Keywords
Cite
@article{arxiv.1906.04007,
title = {An Empty Chiral Rotation for the Adler-Bell-Jackiw Anomaly},
author = {Israel Weimin Sun},
journal= {arXiv preprint arXiv:1906.04007},
year = {2019}
}
Comments
5 pages, no figures. This is a substantive enlarged version. The original scientific problem posed in the previous version as a comment article now has a full solution. However, in connection with the same physical issue as in version one, a complete answer has now emerged. This is my intention to write this second version. The original title as a comment article has been changed