Multiplicative anomaly matches Casimir energy for GJMS operators on spheres
R. Aros,
F. Bugini,
D. E. Díaz
et al.
Abstract: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 $$ {S}_{\beta}^1\times {S}^{n-1} $$
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