Connecting quasinormal modes and heat kernels in 1-loop determinants

@article{Keeler2018ConnectingQM,
  title={Connecting quasinormal modes and heat kernels in 1-loop determinants},
  author={Cynthia A. Keeler and Victoria L. Martin and Andrew Svesko},
  journal={arXiv: High Energy Physics - Theory},
  year={2018}
}
We connect two different approaches for calculating functional determinants on quotients of hyperbolic spacetime: the heat kernel method and the quasinormal mode method. For the example of a rotating BTZ background, we show how the image sum in the heat kernel method builds up the logarithms in the quasinormal mode method, while the thermal sum in the quasinormal mode method builds up the integrand of the heat kernel. More formally, we demonstrate how the heat kernel and quasinormal mode… Expand
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