The Multiplicative Anomaly of Regularized Functional Determinants
Sergio Zerbini
TL;DR
This paper introduces and discusses the multiplicative anomaly in regularized functional determinants of elliptic operators, exploring its mathematical properties and potential physical implications through examples.
Contribution
It presents the concept of the multiplicative anomaly in regularized determinants and analyzes its properties and relevance in mathematical and physical contexts.
Findings
Properties of the multiplicative anomaly are characterized.
The anomaly's relevance to mathematical consistency is highlighted.
Examples illustrate potential physical significance.
Abstract
The multiplicative anomaly related to the functional regularized determinants involving products of elliptic operators is introduced and some of its properties discussed. Its relevance concerning the mathematical consistency is stressed. With regard to its possible physical relevance, some examples are illustrated.
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