Black hole one-loop determinants in the large dimension limit

Cynthia Keeler, Alankrita Priya

Research output: Contribution to journalArticle

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 languageEnglish (US)
Article number99
JournalJournal of High Energy Physics
Volume2020
Issue number6
DOIs
StatePublished - 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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