Generalized Zeta Function Regularization and the Multiplicative Anomaly
G. Cognola, S. Zerbini
TL;DR
This paper surveys zeta function regularization and the multiplicative anomaly, presenting new results for the anomaly in cases where the associated zeta function is singular at the origin.
Contribution
It provides a comprehensive overview of the regular and singular cases of zeta function regularization and introduces novel findings for the multiplicative anomaly in singular cases.
Findings
New results for the multiplicative anomaly in singular cases
Analysis of regular and singular cases of zeta function regularization
Enhanced understanding of the multiplicative anomaly's behavior
Abstract
A brief survey of the zeta function regularization and multiplicative anomaly issues when the associated zeta function of fluctuation operator is the regular at the origin (regular case) as well as when it is singular at the origin (singular case) is presented. In the singular case, new results for the multiplicative anomaly are presented
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