Connecting quasinormal modes and heat kernels in 1loop 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 1loop 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:

 Arizona State University
 Publication Date:
 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 Proceedings
 Additional Journal Information:
 Journal Name: SciPost Physics Proceedings Journal Volume: 8 Journal Issue: 2; Journal ID: ISSN 25424653
 Publisher:
 SciPost Foundation
 Country of Publication:
 Netherlands
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Keeler, Cynthia, Martin, Victoria, and Svesko, Andrew. Connecting quasinormal modes and heat kernels in 1loop determinants. Netherlands: N. p., 2020.
Web. doi:10.21468/SciPostPhys.8.2.017.
Keeler, Cynthia, Martin, Victoria, & Svesko, Andrew. Connecting quasinormal modes and heat kernels in 1loop determinants. Netherlands. doi:10.21468/SciPostPhys.8.2.017.
Keeler, Cynthia, Martin, Victoria, and Svesko, Andrew. Mon .
"Connecting quasinormal modes and heat kernels in 1loop determinants". Netherlands. doi:10.21468/SciPostPhys.8.2.017.
@article{osti_1596878,
title = {Connecting quasinormal modes and heat kernels in 1loop determinants},
author = {Keeler, Cynthia and Martin, Victoria and Svesko, Andrew},
abstractNote = {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 1loop 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.},
doi = {10.21468/SciPostPhys.8.2.017},
journal = {SciPost Physics Proceedings},
number = 2,
volume = 8,
place = {Netherlands},
year = {2020},
month = {2}
}
DOI: 10.21468/SciPostPhys.8.2.017
Web of Science
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