Title: Connecting quasinormal modes and heat kernels in 1-loop determinants

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.

Authors:

Keeler, Cynthia ^[1]; Martin, Victoria ^[1]; Svesko, Andrew ^[1]

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+ Show Author Affiliations

1. Arizona State University

Publication Date:

Mon Feb 03 00:00:00 EST 2020

Research Org.:

Arizona State Univ., Tempe, AZ (United States)

Sponsoring Org.:

USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:

1596878

Alternate Identifier(s):

OSTI ID: 1597741

Grant/Contract Number:  

SC0018330; SC0019380

Resource Type:

Published Article

Journal Name:

SciPost Physics

Additional Journal Information:

Journal Name: SciPost Physics Journal Volume: 8 Journal Issue: 2; Journal ID: ISSN 2542-4653

Publisher:

SciPost Foundation

Country of Publication:

Netherlands

Language:

English

Subject:

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS