Connecting quasinormal modes and heat kernels in 1-loop determinants

Cynthia Keeler, Victoria L. Martin, Andrew Svesko

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

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 methods are linked via the Selberg zeta function. We show that a 1-loop partition function computed using the heat kernel method may be cast as a Selberg zeta function whose zeros encode quasinormal modes. We discuss how our work may be used to predict quasinormal modes on more complicated spacetimes.

Original languageEnglish (US)
Article number017
JournalSciPost Physics
Volume8
Issue number2
DOIs
StatePublished - Feb 2020

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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