On the questions of asymptotic recoverability of information and subsystems in quantum gravity
Abstract A longstanding question in quantum gravity regards the localization of quantum information; one way to formulate this question is to ask how subsystems can be defined in quantum-gravitational systems. The gauge symmetry and necessity of solving the gravitational constraints appear to imply...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2022)227 |
| _version_ | 1811281168502358016 |
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| author | Steven B. Giddings |
| author_facet | Steven B. Giddings |
| author_sort | Steven B. Giddings |
| collection | DOAJ |
| description | Abstract A longstanding question in quantum gravity regards the localization of quantum information; one way to formulate this question is to ask how subsystems can be defined in quantum-gravitational systems. The gauge symmetry and necessity of solving the gravitational constraints appear to imply that the answers to this question here are different than in finite quantum systems, or in local quantum field theory. Specifically, the constraints can be solved by providing a “gravitational dressing” for the underlying field-theory operators, but this modifies their locality properties. It has been argued that holography itself may be explained through this role of the gauge symmetry and constraints, at the nonperturbative level, but there are also subtleties in constructing a holographic map in this approach. There are also claims that holography is implied even by perturbative solution of the constraints. This short note provides further examination of these questions, and in particular investigates to what extent perturbative or nonperturbative solution of the constraints implies that information naïvely thought to be localized can be recovered by asymptotic measurements, and the relevance of this in defining subsystems. In the leading perturbative case, the relevant effects are seen to be exponentially suppressed and asymptotically vanishing, for massive fields. These questions are, for example, important in sharply characterizing the unitarity problem for black holes. |
| first_indexed | 2024-04-13T01:27:50Z |
| format | Article |
| id | doaj.art-880ab9004887436c8d2c176f311a489c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T01:27:50Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-880ab9004887436c8d2c176f311a489c2022-12-22T03:08:35ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022811010.1007/JHEP08(2022)227On the questions of asymptotic recoverability of information and subsystems in quantum gravitySteven B. Giddings0Department of Physics, University of CaliforniaAbstract A longstanding question in quantum gravity regards the localization of quantum information; one way to formulate this question is to ask how subsystems can be defined in quantum-gravitational systems. The gauge symmetry and necessity of solving the gravitational constraints appear to imply that the answers to this question here are different than in finite quantum systems, or in local quantum field theory. Specifically, the constraints can be solved by providing a “gravitational dressing” for the underlying field-theory operators, but this modifies their locality properties. It has been argued that holography itself may be explained through this role of the gauge symmetry and constraints, at the nonperturbative level, but there are also subtleties in constructing a holographic map in this approach. There are also claims that holography is implied even by perturbative solution of the constraints. This short note provides further examination of these questions, and in particular investigates to what extent perturbative or nonperturbative solution of the constraints implies that information naïvely thought to be localized can be recovered by asymptotic measurements, and the relevance of this in defining subsystems. In the leading perturbative case, the relevant effects are seen to be exponentially suppressed and asymptotically vanishing, for massive fields. These questions are, for example, important in sharply characterizing the unitarity problem for black holes.https://doi.org/10.1007/JHEP08(2022)227Models of Quantum GravitySpace-Time Symmetries |
| spellingShingle | Steven B. Giddings On the questions of asymptotic recoverability of information and subsystems in quantum gravity Journal of High Energy Physics Models of Quantum Gravity Space-Time Symmetries |
| title | On the questions of asymptotic recoverability of information and subsystems in quantum gravity |
| title_full | On the questions of asymptotic recoverability of information and subsystems in quantum gravity |
| title_fullStr | On the questions of asymptotic recoverability of information and subsystems in quantum gravity |
| title_full_unstemmed | On the questions of asymptotic recoverability of information and subsystems in quantum gravity |
| title_short | On the questions of asymptotic recoverability of information and subsystems in quantum gravity |
| title_sort | on the questions of asymptotic recoverability of information and subsystems in quantum gravity |
| topic | Models of Quantum Gravity Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP08(2022)227 |
| work_keys_str_mv | AT stevenbgiddings onthequestionsofasymptoticrecoverabilityofinformationandsubsystemsinquantumgravity |