Zeta-function on the generalised cone
High Energy Physics - Theory
2007-05-23 v1
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.
Cite
@article{arxiv.hep-th/9610229,
title = {Zeta-function on the generalised cone},
author = {Guido Cognola and Sergio Zerbini},
journal= {arXiv preprint arXiv:hep-th/9610229},
year = {2007}
}
Comments
6 pages, LaTex