Adler-Bell-Jackiw反常的空手征转动
An Empty Chiral Rotation for the Adler-Bell-Jackiw Anomaly
摘要:
本文试图推翻著名的Adler-Bell-Jackiw反常源于费米子测度的手征转动不变性的传统观点。量子场论中的费米子泛函积分测度应被定义为能再现标准的费曼图解展开式。这意味着,一个简单的费米子测度定义自动地服务于这样一个目的。一个困境,然后出现:如何才能确定ABJ异常作为一个非平凡的雅可比因子的手征变换?真正的答案确实令人惊讶和意外,即雅可比因子实际上是一个随机和不确定的对象,因此它不携带物理信息。一个真正的解释ABJ异常的建议。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。