ISSN:
1573-0530
Keywords:
spectral geometry
;
heat kernel
;
zeta function
;
conical singularity.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract The analytic properties of the ζ-function for a Laplace operator on a generalised cone $$\mathbb{R}^2 \times \mathcal{M}^{\text{N}}$$ are studied in some detail using 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007344724516
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