Noether theorems and quantum anomalies
John Gough, Tudor S. Ratiu, Oleg G. Smolyanov
TL;DR
This paper demonstrates that infinite-dimensional Noether theorems and quantum anomalies can be derived using similar measure-based formulas, improving upon previous results in the field.
Contribution
It introduces an improved unified approach to deriving Noether theorems and quantum anomalies using measure and pseudomeasure derivatives.
Findings
Unified formulas for Noether theorems and quantum anomalies
Enhanced derivations compared to previous methods
Applicable to infinite-dimensional settings
Abstract
In this communication, we show that both infinite-dimensional versions of Noether's theorems, and the explanation of quantum anomalies can be obtained using similar formulas for the derivatives of functions whose values are measures (Smolyanov and von Weizsaecker, 1995) or pseudomeasures (Gough, Ratiu and Smolyanov, 2015). In particular, we improve son these results.
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