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DOE OSTI · 1837760

BTZ one-loop determinants via the Selberg zeta function for general spin

Keeler, Cynthia·Martin, Victoria L.·Svesko, Andrew
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Abstract

We relate the heat kernel and quasinormal mode methods of computing the 1-loop partition function of arbitrary spin fields on a rotating (Euclidean) BTZ background using the Selberg zeta function associated with H 3 /Z, extending (arXiv:1811.08433) [1]. Previously, Perry and Williams [2] showed for a scalar field that the zeros of the Selberg zeta function coincide with the poles of the associated scattering operator upon a relabeling of integers. We extend the integer relabeling to the case of general spin, and discuss its relationship to the removal of non-square-integrable Euclidean zero modes.

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Keeler, Cynthia, Martin, Victoria L., Svesko, Andrew. 2020-10-22. BTZ one-loop determinants via the Selberg zeta function for general spin. https://doi.org/10.1007/jhep10(2020)138

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