BTZ one-loop determinants via the Selberg zeta function for general spin
High Energy Physics - Theory
2020-12-02 v1 General Relativity and Quantum Cosmology
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 , extending (1811.08433). Previously, Perry and Williams 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.
Cite
@article{arxiv.1910.07607,
title = {BTZ one-loop determinants via the Selberg zeta function for general spin},
author = {Cynthia Keeler and Victoria L. Martin and Andrew Svesko},
journal= {arXiv preprint arXiv:1910.07607},
year = {2020}
}