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The heat kernel and quasinormal mode methods of computing 1-loop partition functions of spin $s$ fields on hyperbolic quotient spacetimes $\mathbb{H}^{3}/\mathbb{Z}$ are related via the Selberg zeta function. We extend that analysis to…

High Energy Physics - Theory · Physics 2020-07-22 Victoria L. Martin , Andrew Svesko

We extend the results of arXiv:1401.7016, computing one loop partition functions for massive fields with spin half in AdS_2 using the quasinormal mode method proposed by Denef, Hartnoll, and Sachdev in arXiv:0908.2657. We find the finite…

High Energy Physics - Theory · Physics 2016-11-23 Cynthia Keeler , Pedro Lisbao , Gim Seng Ng

In this note, we calculate the one-loop determinant for a massive scalar (with conformal dimension $\Delta$) in even-dimensional AdS$_{d+1}$ space, using the quasinormal mode method developed in arXiv:0908.2657 by Denef, Hartnoll, and…

High Energy Physics - Theory · Physics 2021-09-27 Cynthia Keeler , Gim Seng Ng

With the recently discovered formula, which relates the off shell Euclidean one loop determinant to the on shell quantities such as normal and quasinormal modes in real spacetime, we work out the one loop partition function for…

High Energy Physics - Theory · Physics 2013-04-09 Hongbao Zhang , Xiangdong Zhang

We propose a method of computing one-loop determinants in black hole spacetimes (with emphasis on asymptotically anti-de Sitter black holes) that may be used for numerics when completely-analytic results are unattainable. The method…

High Energy Physics - Theory · Physics 2016-08-03 Peter Arnold , Phillip Szepietowski , Diana Vaman

We calculate the exact values of the quasinormal frequencies for an electromagnetic field and a gravitational perturbation moving in $D$-dimensional de Sitter spacetime ($D \geq 4$). We also study the quasinormal modes of a real massive…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. López-Ortega

We extend a formula for 1-loop black hole determinants by Denef, Hartnoll, and Sachdev (DHS) to spinning fields on any $(d+1)$-dimensional static spherically symmetric black hole. By carefully analyzing the regularity condition imposed on…

High Energy Physics - Theory · Physics 2023-06-08 Manvir Grewal , Y. T. Albert Law , Klaas Parmentier

We investigate the quasinormal modes for gravitational perturbations of rotating black holes in four dimensional Anti-de Sitter (AdS) spacetime. The study of the quasinormal frequencies related to these modes is relevant to the AdS/CFT…

General Relativity and Quantum Cosmology · Physics 2010-11-19 M. Giammatteo , I. G. Moss

We find exact solutions to the Dirac equation in D-dimensional de Sitter spacetime. Using these solutions we analytically calculate the de Sitter quasinormal (QN) frequencies of the Dirac field. For the massive Dirac field this computation…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Lopez-Ortega

Recently, in the context of dS/CFT correspondence, quasinormal modes have been put forward to address certain features of this conjecture. In particular, it is argued that the dual states of quasi-normal modes are in fact the states of…

General Relativity and Quantum Cosmology · Physics 2014-09-10 M. Reza Tanhayi

We construct higher spin quasinormal modes algebraically in $D$-dimensional de Sitter spacetime using the ambient space formalism. The quasinormal modes fall into two nonunitary lowest-weight representations of $\mathfrak{so}(1, D)$. From a…

High Energy Physics - Theory · Physics 2021-11-24 Zimo Sun

Using the monodromy method we calculate the asymptotic quasinormal (QN) frequencies of an electromagnetic field moving in D-dimensional Schwarzschild and Schwarzschild de Sitter (SdS) black holes ($D\geq 4$). For the D-dimensional…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. López-Ortega

Modifying a method by Horowitz and Hubeny for asymptotically anti-de Sitter black holes, we establish the classical stability of the quasinormal modes of the de Sitter spacetime. Furthermore using a straightforward method we calculate the…

General Relativity and Quantum Cosmology · Physics 2015-06-05 A. Lopez-Ortega

In this paper, we evaluate the character partition function of gravitons in the Nariai geometry using quasinormal modes. Employing the Denef-Hartnoll-Sachdev (DHS) prescription, we compute the bulk partition function from the spectrum of…

High Energy Physics - Theory · Physics 2025-06-10 Jyotirmoy Mukherjee

We show that the one-loop partition function of any higher spin field in $(d+1)$-dimensional Anti-de Sitter spacetime can be expressed as an integral transform of an $\text{SO}(2,d)$ bulk character and an $\text{SO}(2,d-2)$ edge character.…

High Energy Physics - Theory · Physics 2022-01-05 Zimo Sun

Motivated by the prospect of constraining microscopic models, we calculate the exact one-loop corrected de Sitter entropy (the logarithm of the sphere partition function) for every effective field theory of quantum gravity, with particles…

High Energy Physics - Theory · Physics 2022-02-22 Dionysios Anninos , Frederik Denef , Y. T. Albert Law , Zimo Sun

We calculate the exact values of the quasinormal frequencies for massless perturbations with spin $s\leq2$ moving in pure accelerating spacetime. We use two different methods to transfer the perturbation equations into the form of…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Tao Zhou , Peng-Cheng Li

The low-laying frequencies of characteristic quasi-normal modes (QNM) of Schwarzschild-de Sitter (SdS) black holes have been calculated for fields of different spin using the 6th-order WKB approximation and the approximation by the…

General Relativity and Quantum Cosmology · Physics 2020-03-09 A. Zhidenko

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…

High Energy Physics - Theory · Physics 2020-02-05 Cynthia Keeler , Victoria L. Martin , Andrew Svesko

We solve the wave equations of arbitrary integer spin fields in the BTZ black hole background and obtain exact expressions for their quasinormal modes. We show that these quasinormal modes precisely agree with the location of the poles of…

High Energy Physics - Theory · Physics 2015-06-03 Shouvik Datta , Justin R. David
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