Pseudospectra of complex momentum modes
Abstract We initiate the study of stability and pseudospectra of complex momentum modes of asymptotically anti-de Sitter black holes. Similar to quasinormal modes, these can be defined as the poles of the holographic Green’s function, albeit for real frequency and complex momentum. Their pseudospect...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)185 |
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| author | David García-Fariña Karl Landsteiner Pau G. Romeu Pablo Saura-Bastida |
| author_facet | David García-Fariña Karl Landsteiner Pau G. Romeu Pablo Saura-Bastida |
| author_sort | David García-Fariña |
| collection | DOAJ |
| description | Abstract We initiate the study of stability and pseudospectra of complex momentum modes of asymptotically anti-de Sitter black holes. Similar to quasinormal modes, these can be defined as the poles of the holographic Green’s function, albeit for real frequency and complex momentum. Their pseudospectra are in stark contrast to the pseudospectra of quasinormal modes of AdS black holes. Contrary to the case of quasinormal mode pseudospectra, the resolvent is well-defined, and the numerical approximation shows fast convergence. At zero frequency, complex momentum modes are stable normal modes of a Hermitian operator. Even for large frequencies, they show only comparatively mild spectral instability. We also find that local potential perturbations cannot destabilize the lowest complex momentum mode. |
| format | Article |
| id | doaj-art-9028c93cebb34a77ac6365376fd40cc0 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-9028c93cebb34a77ac6365376fd40cc02025-02-09T12:08:01ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113510.1007/JHEP01(2025)185Pseudospectra of complex momentum modesDavid García-Fariña0Karl Landsteiner1Pau G. Romeu2Pablo Saura-Bastida3Instituto de Física Teórica UAM/CSIC, Universidad Autónoma de MadridInstituto de Física Teórica UAM/CSIC, Universidad Autónoma de MadridInstituto de Física Teórica UAM/CSIC, Universidad Autónoma de MadridInstituto de Física Teórica UAM/CSIC, Universidad Autónoma de MadridAbstract We initiate the study of stability and pseudospectra of complex momentum modes of asymptotically anti-de Sitter black holes. Similar to quasinormal modes, these can be defined as the poles of the holographic Green’s function, albeit for real frequency and complex momentum. Their pseudospectra are in stark contrast to the pseudospectra of quasinormal modes of AdS black holes. Contrary to the case of quasinormal mode pseudospectra, the resolvent is well-defined, and the numerical approximation shows fast convergence. At zero frequency, complex momentum modes are stable normal modes of a Hermitian operator. Even for large frequencies, they show only comparatively mild spectral instability. We also find that local potential perturbations cannot destabilize the lowest complex momentum mode.https://doi.org/10.1007/JHEP01(2025)185Black HolesGauge-Gravity CorrespondenceHolography and Hydrodynamics |
| spellingShingle | David García-Fariña Karl Landsteiner Pau G. Romeu Pablo Saura-Bastida Pseudospectra of complex momentum modes Journal of High Energy Physics Black Holes Gauge-Gravity Correspondence Holography and Hydrodynamics |
| title | Pseudospectra of complex momentum modes |
| title_full | Pseudospectra of complex momentum modes |
| title_fullStr | Pseudospectra of complex momentum modes |
| title_full_unstemmed | Pseudospectra of complex momentum modes |
| title_short | Pseudospectra of complex momentum modes |
| title_sort | pseudospectra of complex momentum modes |
| topic | Black Holes Gauge-Gravity Correspondence Holography and Hydrodynamics |
| url | https://doi.org/10.1007/JHEP01(2025)185 |
| work_keys_str_mv | AT davidgarciafarina pseudospectraofcomplexmomentummodes AT karllandsteiner pseudospectraofcomplexmomentummodes AT paugromeu pseudospectraofcomplexmomentummodes AT pablosaurabastida pseudospectraofcomplexmomentummodes |