Zeta-function on the generalised cone

Guido Cognola; Sergio Zerbini

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arXiv · hep-th/9610229

Zeta-function on the generalised cone

Guido Cognola·Sergio Zerbini

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Abstract

The analytic properties of the zeta-function for a Laplace operator on a generalised cone are studied in some detail using the Cheeger's approach and explicit expressions are given. In the compact case, the zeta-function of the Laplace operator turns out to be singular at the origin. As a result, strictly speaking, the zeta-function regularisation does not ``regularise'' and a further subtraction is required for the related one-loop effective potential.

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Guido Cognola, Sergio Zerbini. 1996-10-29. Zeta-function on the generalised cone. https://arxiv.org/abs/hep-th/9610229

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