Zeta-function on the generalised cone

نویسندگان

  • Guido Cognola
  • Sergio Zerbini
چکیده

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

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تاریخ انتشار 1996