SciPost Submission Page

Connecting quasinormal modes and heat kernels in 1-loop determinants

by Cynthia Keeler, Victoria L. Martin, Andrew Svesko

Submission summary

As Contributors: Andrew Svesko
Preprint link: scipost_201907_00003v1
Date submitted: 2019-07-18
Submitted by: Svesko, Andrew
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: High-Energy Physics - Theory

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.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission scipost_201907_00003v1 on 18 July 2019

Login to report or comment