De Sitter quantum gravity and the emergence of local algebras
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13130_2025_Article_26045.pdf
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Author(s)
Kaplan, Molly
Marolf, Donald
Yu, Xuyang
Zhao, Ying
Date Issued
April 22, 2025
Journal
Journal of High Energy Physics
Publisher
Springer Berlin Heidelberg
Citation
Kaplan, M., Marolf, D., Yu, X. et al. De Sitter quantum gravity and the emergence of local algebras. J. High Energ. Phys. 2025, 171 (2025).
Version
Final published version
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 Sd in dSd+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 dSd+1 so long as those regions are located far to the future or past of such a minimal Sd. This in particular includes arbitrarily large parts of any static patch.
MIT Department
Massachusetts Institute of Technology
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/JHEP04(2025)171
