On the non-perturbative bulk Hilbert space of JT gravity
What is the bulk Hilbert space of quantum gravity? In this paper, we resolve this problem in 2d JT gravity, both with and without matter, providing an explicit definition of a non-perturbative Hilbert space specified in terms of metric variables. The states are wavefunctions of the length and matter...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2024
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| Online Access: | https://hdl.handle.net/1721.1/157517 |
| _version_ | 1824458249227730944 |
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| author | Iliesiu, Luca V. Levine, Adam Lin, Henry W. Maxfield, Henry Mezei, Márk |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Iliesiu, Luca V. Levine, Adam Lin, Henry W. Maxfield, Henry Mezei, Márk |
| author_sort | Iliesiu, Luca V. |
| collection | MIT |
| description | What is the bulk Hilbert space of quantum gravity? In this paper, we resolve this problem in 2d JT gravity, both with and without matter, providing an explicit definition of a non-perturbative Hilbert space specified in terms of metric variables. The states are wavefunctions of the length and matter state, but with a non-trivial and highly degenerate inner product. We explicitly identify the null states, and discuss their importance for defining operators non-perturbatively. To highlight the power of the formalism we developed, we study the non-perturbative effects for two bulk linear operators that may serve as proxies for the experience of an observer falling into a two-sided black hole: one captures the length of an Einstein-Rosen bridge and the other captures the center-of-mass collision energy between two particles falling from opposite sides. We track the behavior of these operators up to times of order e S BH , at which point the wavefunction spreads to the complete set of eigenstates of these operators. If these observables are indeed good proxies for the experience of an infalling observer, our results indicate an O(1) probability of detecting a firewall at late times that is self-averaging and universal. |
| first_indexed | 2025-02-19T04:22:53Z |
| format | Article |
| id | mit-1721.1/157517 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2025-02-19T04:22:53Z |
| publishDate | 2024 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1575172025-01-08T04:43:10Z On the non-perturbative bulk Hilbert space of JT gravity Iliesiu, Luca V. Levine, Adam Lin, Henry W. Maxfield, Henry Mezei, Márk Massachusetts Institute of Technology. Center for Theoretical Physics What is the bulk Hilbert space of quantum gravity? In this paper, we resolve this problem in 2d JT gravity, both with and without matter, providing an explicit definition of a non-perturbative Hilbert space specified in terms of metric variables. The states are wavefunctions of the length and matter state, but with a non-trivial and highly degenerate inner product. We explicitly identify the null states, and discuss their importance for defining operators non-perturbatively. To highlight the power of the formalism we developed, we study the non-perturbative effects for two bulk linear operators that may serve as proxies for the experience of an observer falling into a two-sided black hole: one captures the length of an Einstein-Rosen bridge and the other captures the center-of-mass collision energy between two particles falling from opposite sides. We track the behavior of these operators up to times of order e S BH , at which point the wavefunction spreads to the complete set of eigenstates of these operators. If these observables are indeed good proxies for the experience of an infalling observer, our results indicate an O(1) probability of detecting a firewall at late times that is self-averaging and universal. 2024-11-08T17:00:15Z 2024-11-08T17:00:15Z 2024-10-29 2024-11-03T04:17:59Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/157517 Iliesiu, L.V., Levine, A., Lin, H.W. et al. On the non-perturbative bulk Hilbert space of JT gravity. J. High Energ. Phys. 2024, 220 (2024). PUBLISHER_CC en https://doi.org/10.1007/JHEP10(2024)220 Journal of High Energy Physics Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Iliesiu, Luca V. Levine, Adam Lin, Henry W. Maxfield, Henry Mezei, Márk On the non-perturbative bulk Hilbert space of JT gravity |
| title | On the non-perturbative bulk Hilbert space of JT gravity |
| title_full | On the non-perturbative bulk Hilbert space of JT gravity |
| title_fullStr | On the non-perturbative bulk Hilbert space of JT gravity |
| title_full_unstemmed | On the non-perturbative bulk Hilbert space of JT gravity |
| title_short | On the non-perturbative bulk Hilbert space of JT gravity |
| title_sort | on the non perturbative bulk hilbert space of jt gravity |
| url | https://hdl.handle.net/1721.1/157517 |
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