Computing black hole partition functions from quasinormal modes

Arnold, Peter; Szepietowski, Phillip; Vaman, Diana

doi:10.1007/JHEP07(2016)032

Title: Computing black hole partition functions from quasinormal modes

Journal Article · Thu Jul 07 00:00:00 EDT 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP07(2016)032· OSTI ID:1326940

Arnold, Peter ^[1]; Szepietowski, Phillip ^[2]; Vaman, Diana ^[3]

Univ. of Virginia, Charlottesville, VA (United States)
Utrecht Univ., Utrecht (The Netherlands)
Univ. of Virginia, Charlottesville, VA (United States); College of William and Mary, Williamsburg, VA (United States)

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 utilizes the expression for one-loop determinants in terms of quasinormal frequencies determined by Denef, Hartnoll and Sachdev in \cite{Denef:2009kn}. A numerical evaluation must face the fact that the sum over the quasinormal modes, indexed by momentum and overtone numbers, is divergent. A necessary ingredient is then a regularization scheme to handle the divergent contributions of individual fixed-momentum sectors to the partition function. To this end, we formulate an effective two-dimensional problem in which a natural refinement of standard heat kernel techniques can be used to account for contributions to the partition function at fixed momentum. We test our method in a concrete case by reproducing the scalar one-loop determinant in the BTZ black hole background. We then discuss the application of such techniques to more complicated spacetimes.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: U.S. Dept. of the Navy, Arlington County, VA (United States); Univ. of Virginia, Charlottesville, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0007984

OSTI ID:: 1326940

Alternate ID(s):: OSTI ID: 1774067

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 7; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 7 works

Citation information provided by
Web of Science

References (21)

Coupling constant dependence in the thermodynamics of N = 4 supersymmetric Yang-Mills theory Gubser, Steven S.; Klebanov, Igor R.; Tseytlin, Arkady A. Nuclear Physics B, Vol. 534, Issue 1-2 https://doi.org/10.1016/S0550-3213(98)00514-8	journal	November 1998
Index-free heat kernel coefficients Ven, Anton E. M. van de Classical and Quantum Gravity, Vol. 15, Issue 8 https://doi.org/10.1088/0264-9381/15/8/014	journal	August 1998
Partition functions in even dimensional AdS via quasinormal mode methods Keeler, Cynthia; Ng, Gim Seng Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)099	journal	June 2014
The generalized Schwinger-Dewitt technique in gauge theories and quantum gravity Barvinsky, A. O.; Vilkovisky, G. A. Physics Reports, Vol. 119, Issue 1 https://doi.org/10.1016/0370-1573(85)90148-6	journal	March 1985
Harmonic analysis and propagators on homogeneous spaces Camporesi, Roberto Physics Reports, Vol. 196, Issue 1-2 https://doi.org/10.1016/0370-1573(90)90120-Q	journal	November 1990
Euclidean Quantum Gravity Gibbons, G. W.; Hawking, S. W. https://doi.org/10.1142/1301	book	May 1993
Black hole determinants and quasinormal modes Denef, Frederik; Hartnoll, Sean A.; Sachdev, Subir Classical and Quantum Gravity, Vol. 27, Issue 12 https://doi.org/10.1088/0264-9381/27/12/125001	journal	April 2010
The Motion of Point Particles in Curved Spacetime Poisson, Eric; Pound, Adam; Vega, Ian Living Reviews in Relativity, Vol. 14, Issue 1 https://doi.org/10.12942/lrr-2011-7	journal	September 2011
A Bohr-Sommerfeld Quantization Formula for Quasinormal Frequencies of AdS Black Holes Festuccia, Guido; Liu, Hong Advanced Science Letters, Vol. 2, Issue 2 https://doi.org/10.1166/asl.2009.1029	journal	June 2009
One-loop partition function from normal modes for $ \mathcal {N}=1$ supergravity in AdS ₃ Zhang, Hongbao; Zhang, Xiangdong Classical and Quantum Gravity, Vol. 29, Issue 14 https://doi.org/10.1088/0264-9381/29/14/145013	journal	June 2012
On the classification of asymptotic quasinormal frequencies for {$d$}-dimensional black holes and quantum gravity Natário, José; Schiappa, Ricardo Advances in Theoretical and Mathematical Physics, Vol. 8, Issue 6 https://doi.org/10.4310/ATMP.2004.v8.n6.a4	journal	January 2004
Stability in gauged extended supergravity Breitenlohner, Peter; Freedman, Daniel Z. Annals of Physics, Vol. 144, Issue 2 https://doi.org/10.1016/0003-4916(82)90116-6	journal	December 1982
Generalized Lifshitz-Kosevich scaling at quantum criticality from the holographic correspondence Hartnoll, Sean A.; Hofman, Diego M. Physical Review B, Vol. 81, Issue 15 https://doi.org/10.1103/PhysRevB.81.155125	journal	April 2010
Quantum Electron Star Allais, Andrea; McGreevy, John; Suh, S. Josephine Physical Review Letters, Vol. 108, Issue 23 https://doi.org/10.1103/PhysRevLett.108.231602	journal	June 2012
Hydrodynamic long-time tails from Anti de Sitter space Caron-Huot, Simon; Saremi, Omid Journal of High Energy Physics, Vol. 2010, Issue 11 https://doi.org/10.1007/JHEP11(2010)013	journal	November 2010
Heat kernel expansion: user's manual Vassilevich, D. V. Physics Reports, Vol. 388, Issue 5-6 https://doi.org/10.1016/j.physrep.2003.09.002	journal	December 2003
One-loop partition functions of 3D gravity Giombi, Simone; Maloney, Alexander; Yin, Xi Journal of High Energy Physics, Vol. 2008, Issue 08 https://doi.org/10.1088/1126-6708/2008/08/007	journal	August 2008
Analytic Calculation of Quasi-Normal Modes Siopsis, G. Physics of Black Holes, p.471-508 https://doi.org/10.1007/978-3-540-88460-6_12	book	January 2009
On one-loop partition functions of three-dimensional critical gravities Zojer, Thomas Classical and Quantum Gravity, Vol. 30, Issue 7 https://doi.org/10.1088/0264-9381/30/7/075005	journal	March 2013
On Quasinormal Modes of Asymptotically Anti-de Sitter Black Holes Warnick, Claude M. Communications in Mathematical Physics, Vol. 333, Issue 2 https://doi.org/10.1007/s00220-014-2171-1	journal	September 2014
Functional determinants in quantum field theory Dunne, Gerald V. Journal of Physics A: Mathematical and Theoretical, Vol. 41, Issue 30 https://doi.org/10.1088/1751-8113/41/30/304006	journal	July 2008

Cited By (2)

Generalised global symmetries in holography: magnetohydrodynamic waves in a strongly interacting plasma Grozdanov, Sašo; Poovuttikul, Napat arXiv https://doi.org/10.48550/arxiv.1707.04182	text	January 2017
Coupling constant corrections in a holographic model of heavy ion collisions Grozdanov, Sašo; van der Schee, Wilke arXiv https://doi.org/10.48550/arxiv.1610.08976	text	January 2016

Similar Records

Partition functions with spin in AdS2 via quasinormal mode methods

Journal Article · Wed Oct 12 00:00:00 EDT 2016 · Journal of High Energy Physics (Online) · OSTI ID:1326940

Keeler, Cynthia; Lisbão, Pedro; Ng, Gim Seng

Quasinormal modes of plane-symmetric anti-de Sitter black holes: A complete analysis of the gravitational perturbations

Journal Article · Wed Mar 15 00:00:00 EST 2006 · Physical Review. D, Particles Fields · OSTI ID:1326940

Miranda, Alex S; Zanchin, Vilson T

Higher spin partition functions via the quasinormal mode method in de Sitter quantum gravity

Journal Article · Mon Sep 14 00:00:00 EDT 2020 · SciPost Physics · OSTI ID:1326940

Martin, Victoria; Svesko, Andrew

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AdS-CFT Correspondence
Black Holes
Holography and condensed matter physics (AdS/CMT)
Holography and quark-gluon plasmas

Title: Computing black hole partition functions from quasinormal modes

Citation Formats

References (21)

Cited By (2)

Similar Records

Related Subjects