BTZ one-loop determinants via the Selberg zeta function for general spin
Abstract
We relate the heat kernel and quasinormal mode methods of computing the 1-loop partition function of arbitrary spin fields on a rotating (Euclidean) BTZ background using the Selberg zeta function associated with H3/Z, extending (arXiv:1811.08433) [1]. Previously, Perry and Williams [2] showed for a scalar field that the zeros of the Selberg zeta function coincide with the poles of the associated scattering operator upon a relabeling of integers. We extend the integer relabeling to the case of general spin, and discuss its relationship to the removal of non-square-integrable Euclidean zero modes.
- Publication Date:
- Research Org.:
- Arizona State Univ., Tempe, AZ (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1837760
- Grant/Contract Number:
- SC0019470
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 10; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Nature
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Black Holes; Higher Spin Gravity
Citation Formats
Keeler, Cynthia, Martin, Victoria L., and Svesko, Andrew. BTZ one-loop determinants via the Selberg zeta function for general spin. United States: N. p., 2020.
Web. doi:10.1007/jhep10(2020)138.
Keeler, Cynthia, Martin, Victoria L., & Svesko, Andrew. BTZ one-loop determinants via the Selberg zeta function for general spin. United States. https://doi.org/10.1007/jhep10(2020)138
Keeler, Cynthia, Martin, Victoria L., and Svesko, Andrew. Thu .
"BTZ one-loop determinants via the Selberg zeta function for general spin". United States. https://doi.org/10.1007/jhep10(2020)138. https://www.osti.gov/servlets/purl/1837760.
@article{osti_1837760,
title = {BTZ one-loop determinants via the Selberg zeta function for general spin},
author = {Keeler, Cynthia and Martin, Victoria L. and Svesko, Andrew},
abstractNote = {We relate the heat kernel and quasinormal mode methods of computing the 1-loop partition function of arbitrary spin fields on a rotating (Euclidean) BTZ background using the Selberg zeta function associated with H3/Z, extending (arXiv:1811.08433) [1]. Previously, Perry and Williams [2] showed for a scalar field that the zeros of the Selberg zeta function coincide with the poles of the associated scattering operator upon a relabeling of integers. We extend the integer relabeling to the case of general spin, and discuss its relationship to the removal of non-square-integrable Euclidean zero modes.},
doi = {10.1007/jhep10(2020)138},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2020,
place = {United States},
year = {Thu Oct 22 00:00:00 EDT 2020},
month = {Thu Oct 22 00:00:00 EDT 2020}
}
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