Zeta Function on a Generalised Cone |
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Authors: | Cognola Guido Zerbini Sergio |
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Institution: | (1) Dipartimento di Fisica, Università di Trento and Instituto Nazionale di Fisica Nucleare, Gruppo Collegato di Trento, Italy. e-mail |
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Abstract: | The analytic properties of the -function for a Laplace operator on a generalised cone
are studied in some detail using Cheeger's approach and explicit expressions are given. In the compact case, the -function of the Laplace operator turns out to be singular at the origin. As a result, strictly speaking, the -function regularisation does not regularise and a further subtraction is required for the related one-loop effective potential. |
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Keywords: | spectral geometry heat kernel zeta function conical singularity |
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