Casimir energy for elliptic fixed points
Spectral Theory
2023-12-08 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2311.12708,
title = {Casimir energy for elliptic fixed points},
author = {J. S. Dowker},
journal= {arXiv preprint arXiv:2311.12708},
year = {2023}
}
Comments
8 pages Missing factor restored. Conclusion expanded. One reference added. Various corrections and additional remarks