Multiplicative anomaly matches Casimir energy for GJMS operators on spheres
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Fecha
2023-12
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Facultad/escuela
Idioma
en
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Editor
Journal of High Energy Physics
Nombre de Curso
Licencia CC
CC BY 4.0 ATTRIBUTION 4.0 INTERNATIONAL
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https://creativecommons.org/licenses/by/4.0/
Resumen
An explicit formula to compute the multiplicative anomaly or defect of ζ-regularized products of linear factors is derived, by using a Feynman parametrization, generalizing Shintani-Mizuno formulas. Firstly, this is applied on n-spheres, reproducing known results in the literature. Then, this framework is applied to a closed Einstein universe at finite temperature, namely Sβ1×Sn−1 . In doing so, it is shown that the standard Casimir energy (as computed via ζ regularization) for GJMS operators coincides with the accumulated multiplicative anomaly for the shifted Laplacians that build them up. This equivalence between Casimir energy and multiplicative anomaly within ζ regularization, unnoticed so far to our knowledge, brings about a new turn regarding the physical significance of the multiplicative anomaly, putting both now on equal footing. An emergent improved Casimir energy, that incorporates the multiplicative anomaly among the building Laplacians, is also discussed.
Notas
Indexación: Scopus.
Palabras clave
Anomalies in Field and String Theories, Field Theories in Higher Dimensions, Renormalization and Regularization
Citación
Journal of High Energy Physics Open Access Volume 2023, Issue 12 December 2023 Article number 142
DOI
10.1007/JHEP12(2023)142