De Sitter quantum gravity and the emergence of local algebras
Abstract Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isometries and compact Cauchy slices provides an interesting laboratory in which this...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)171 |
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| author | Molly Kaplan Donald Marolf Xuyang Yu Ying Zhao |
| author_facet | Molly Kaplan Donald Marolf Xuyang Yu Ying Zhao |
| author_sort | Molly Kaplan |
| collection | DOAJ |
| description | Abstract Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isometries and compact Cauchy slices provides an interesting laboratory in which this emergence can be explored. In this context, the remaining isometries are gauge symmetries and, as a result, gauge-invariant observables cannot be localized. Instead, local physics can arise only through certain relational constructions. We explore such issues below for perturbative quantum gravity around de Sitter space. In particular, we describe a class of gauge-invariant observables which, under appropriate conditions, provide good approximations to certain algebras of local fields. Our results suggest that, near any minimal S d in dS d+1, this approximation can be accurate only over regions in which the corresponding global time coordinate t spans an interval ∆t ≲ O(ln G −1). In contrast, however, we find that the approximation can be accurate over arbitrarily large regions of global dS d+1 so long as those regions are located far to the future or past of such a minimal S d . This in particular includes arbitrarily large parts of any static patch. |
| format | Article |
| id | doaj-art-f3cc05be52db4fe2bdab406b9efd14b8 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-f3cc05be52db4fe2bdab406b9efd14b82025-08-20T03:53:22ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025414710.1007/JHEP04(2025)171De Sitter quantum gravity and the emergence of local algebrasMolly Kaplan0Donald Marolf1Xuyang Yu2Ying Zhao3Department of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaKavli Institute for Theoretical PhysicsAbstract Quantum theories of gravity are generally expected to have some degree of non-locality, with familiar local physics emerging only in a particular limit. Perturbative quantum gravity around backgrounds with isometries and compact Cauchy slices provides an interesting laboratory in which this emergence can be explored. In this context, the remaining isometries are gauge symmetries and, as a result, gauge-invariant observables cannot be localized. Instead, local physics can arise only through certain relational constructions. We explore such issues below for perturbative quantum gravity around de Sitter space. In particular, we describe a class of gauge-invariant observables which, under appropriate conditions, provide good approximations to certain algebras of local fields. Our results suggest that, near any minimal S d in dS d+1, this approximation can be accurate only over regions in which the corresponding global time coordinate t spans an interval ∆t ≲ O(ln G −1). In contrast, however, we find that the approximation can be accurate over arbitrarily large regions of global dS d+1 so long as those regions are located far to the future or past of such a minimal S d . This in particular includes arbitrarily large parts of any static patch.https://doi.org/10.1007/JHEP04(2025)171de Sitter spaceGauge Symmetry |
| spellingShingle | Molly Kaplan Donald Marolf Xuyang Yu Ying Zhao De Sitter quantum gravity and the emergence of local algebras Journal of High Energy Physics de Sitter space Gauge Symmetry |
| title | De Sitter quantum gravity and the emergence of local algebras |
| title_full | De Sitter quantum gravity and the emergence of local algebras |
| title_fullStr | De Sitter quantum gravity and the emergence of local algebras |
| title_full_unstemmed | De Sitter quantum gravity and the emergence of local algebras |
| title_short | De Sitter quantum gravity and the emergence of local algebras |
| title_sort | de sitter quantum gravity and the emergence of local algebras |
| topic | de Sitter space Gauge Symmetry |
| url | https://doi.org/10.1007/JHEP04(2025)171 |
| work_keys_str_mv | AT mollykaplan desitterquantumgravityandtheemergenceoflocalalgebras AT donaldmarolf desitterquantumgravityandtheemergenceoflocalalgebras AT xuyangyu desitterquantumgravityandtheemergenceoflocalalgebras AT yingzhao desitterquantumgravityandtheemergenceoflocalalgebras |