Casimir energy for elliptic fixed points

J. S. Dowker

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arXiv · 2311.12708

Casimir energy for elliptic fixed points

J. S. Dowker

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Abstract

The contribution of elliptic fixed points to the scalar Casimir energy on compact quotients of the upper half hyperbolic plane is computed for a propagation operator conformal in three dimensions. The expression involves derivatives of two-dimensional Barnes zeta-functions which are reduced to Hurwitz zeta-functions for numerical purposes. The values are all positive for any elliptic order.

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BibTeX RIS

J. S. Dowker. 2023-11-21. Casimir energy for elliptic fixed points. https://arxiv.org/abs/2311.12708

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