Black hole horizon edge partition functions
Abstract 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 the Euclidean eigenfunctions, we reveal an unambiguo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)025 |
| _version_ | 1797675802218725376 |
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| author | Manvir Grewal Y. T. Albert Law Klaas Parmentier |
| author_facet | Manvir Grewal Y. T. Albert Law Klaas Parmentier |
| author_sort | Manvir Grewal |
| collection | DOAJ |
| description | Abstract 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 the Euclidean eigenfunctions, we reveal an unambiguous bulk-edge split in the 1-loop Euclidean partition function for tensor fields of arbitrary integer spin: the bulk part captures the “renormalized” thermal canonical partition function recently discussed in [1]; the edge part is related to quasinormal modes (QNMs) that fail to analytically continue to a subset of Euclidean modes with enhanced fall-offs near the origin. Since the edge part takes the form of a path integral on S d−1, this suggests that these are associated with degrees of freedom living on the bifurcation surface in the Lorentzian two-sided black hole geometry. For massive higher spin on static BTZ and massive vector on Nariai black holes, we find that the edge partition function is related to the QNMs with lowest overtone numbers. |
| first_indexed | 2024-03-11T22:20:00Z |
| format | Article |
| id | doaj.art-7773e6038d264d76a58f4061fd8bf072 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:20:00Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7773e6038d264d76a58f4061fd8bf0722023-09-24T11:07:15ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023614310.1007/JHEP06(2023)025Black hole horizon edge partition functionsManvir Grewal0Y. T. Albert Law1Klaas Parmentier2Center for Theoretical Physics, Columbia UniversityCenter for the Fundamental Laws of Nature, Harvard UniversityCenter for Theoretical Physics, Columbia UniversityAbstract 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 the Euclidean eigenfunctions, we reveal an unambiguous bulk-edge split in the 1-loop Euclidean partition function for tensor fields of arbitrary integer spin: the bulk part captures the “renormalized” thermal canonical partition function recently discussed in [1]; the edge part is related to quasinormal modes (QNMs) that fail to analytically continue to a subset of Euclidean modes with enhanced fall-offs near the origin. Since the edge part takes the form of a path integral on S d−1, this suggests that these are associated with degrees of freedom living on the bifurcation surface in the Lorentzian two-sided black hole geometry. For massive higher spin on static BTZ and massive vector on Nariai black holes, we find that the edge partition function is related to the QNMs with lowest overtone numbers.https://doi.org/10.1007/JHEP06(2023)025Black HolesModels of Quantum GravityThermal Field Theory |
| spellingShingle | Manvir Grewal Y. T. Albert Law Klaas Parmentier Black hole horizon edge partition functions Journal of High Energy Physics Black Holes Models of Quantum Gravity Thermal Field Theory |
| title | Black hole horizon edge partition functions |
| title_full | Black hole horizon edge partition functions |
| title_fullStr | Black hole horizon edge partition functions |
| title_full_unstemmed | Black hole horizon edge partition functions |
| title_short | Black hole horizon edge partition functions |
| title_sort | black hole horizon edge partition functions |
| topic | Black Holes Models of Quantum Gravity Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP06(2023)025 |
| work_keys_str_mv | AT manvirgrewal blackholehorizonedgepartitionfunctions AT ytalbertlaw blackholehorizonedgepartitionfunctions AT klaasparmentier blackholehorizonedgepartitionfunctions |