Black hole one-loop determinants in the large dimension limit

Cynthia Keeler; Alankrita Priya

doi:10.1007/JHEP06(2020)099

Black hole one-loop determinants in the large dimension limit

Cynthia Keeler, Alankrita Priya

Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We calculate the contributions to the one-loop determinant for transverse traceless gravitons in an n + 3-dimensional Schwarzschild black hole background in the large dimension limit, due to the SO(n + 2)-type tensor and vector fluctuations, using the quasinormal mode method. Accordingly we find the quasinormal modes for these fluctuations as a function of a fiducial mass parameter ∆. We show that the behavior of the one-loop determinant at large ∆ accords with a heat kernel curvature expansion in one lower dimension, lending further evidence towards a membrane picture for black holes in the large dimension limit.

Original language	English (US)
Article number	99
Journal	Journal of High Energy Physics
Volume	2020
Issue number	6
DOIs	https://doi.org/10.1007/JHEP06(2020)099
State	Published - Jun 1 2020

Keywords

Black Holes
Classical Theories of Gravity
Field Theories in Higher Dimensions

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP06(2020)099

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title = "Black hole one-loop determinants in the large dimension limit",

abstract = "We calculate the contributions to the one-loop determinant for transverse traceless gravitons in an n + 3-dimensional Schwarzschild black hole background in the large dimension limit, due to the SO(n + 2)-type tensor and vector fluctuations, using the quasinormal mode method. Accordingly we find the quasinormal modes for these fluctuations as a function of a fiducial mass parameter ∆. We show that the behavior of the one-loop determinant at large ∆ accords with a heat kernel curvature expansion in one lower dimension, lending further evidence towards a membrane picture for black holes in the large dimension limit.",

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author = "Cynthia Keeler and Alankrita Priya",

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AU - Priya, Alankrita

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N2 - We calculate the contributions to the one-loop determinant for transverse traceless gravitons in an n + 3-dimensional Schwarzschild black hole background in the large dimension limit, due to the SO(n + 2)-type tensor and vector fluctuations, using the quasinormal mode method. Accordingly we find the quasinormal modes for these fluctuations as a function of a fiducial mass parameter ∆. We show that the behavior of the one-loop determinant at large ∆ accords with a heat kernel curvature expansion in one lower dimension, lending further evidence towards a membrane picture for black holes in the large dimension limit.

AB - We calculate the contributions to the one-loop determinant for transverse traceless gravitons in an n + 3-dimensional Schwarzschild black hole background in the large dimension limit, due to the SO(n + 2)-type tensor and vector fluctuations, using the quasinormal mode method. Accordingly we find the quasinormal modes for these fluctuations as a function of a fiducial mass parameter ∆. We show that the behavior of the one-loop determinant at large ∆ accords with a heat kernel curvature expansion in one lower dimension, lending further evidence towards a membrane picture for black holes in the large dimension limit.

KW - Black Holes

KW - Classical Theories of Gravity

KW - Field Theories in Higher Dimensions

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Black hole one-loop determinants in the large dimension limit

Abstract

Keywords

ASJC Scopus subject areas

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