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 ℍ3/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, C., Martin, V.L. & Svesko, A. BTZ one-loop determinants via the Selberg zeta function for general spin. J. High Energ. Phys. 2020, 138 (2020). https://doi.org/10.1007/JHEP10(2020)138
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DOI: https://doi.org/10.1007/JHEP10(2020)138