Goto, Kanato and Kusuki, Yuya and Tamaoka, Kotaro and Ugajin, Tomonori (2021) Product of random states and spatial (half-)wormholes. Journal of High Energy Physics, 2021 (10). Art. No. 205. ISSN 1029-8479. doi:10.1007/jhep10(2021)205. https://resolver.caltech.edu/CaltechAUTHORS:20211124-183511245
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Abstract
We study how coarse-graining procedure of an underlying UV-complete quantum gravity gives rise to a connected geometry. It has been shown, quantum entanglement plays a key role in the emergence of such a geometric structure, namely a smooth Einstein-Rosen bridge. In this paper, we explore the possibility of the emergence of similar geometric structure from classical correlation, in the AdS/CFT setup. To this end, we consider a setup where we have two decoupled CFT Hilbert spaces, then choose a random typical state in one of the Hilbert spaces and the same state in the other. The total state in the fine-grained picture is of course a tensor product state, but averaging over the states sharing the same random coefficients creates a geometric connection for simple probes. Then, the apparent spatial wormhole causes a factorization puzzle. We argue that there is a spatial analog of half-wormholes, which resolves the puzzle in the similar way as the spacetime half-wormholes.
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Additional Information: | © 2021 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: September 14, 2021; Accepted: October 5, 2021; Published: October 26, 2021. We thank Yasunori Nomura, Masahiro Nozaki, Kenta Suzuki, Tadashi Takayanagi, and Zixia Wei for useful discussion. KG is supported by JSPS Grant-in-Aid for Early-Career Scientists 21K13930. KT is supported by JSPS Grant-in-Aid for Early-Career Scientists 21K13920. TU is supported by JSPS Grant-in-Aid for Young Scientists 19K14716. YK is supported by RIKEN iTHEMS Program, and the RIKEN Special Postdoctoral Researcher program. | ||||||||||||
Group: | Walter Burke Institute for Theoretical Physics | ||||||||||||
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Subject Keywords: | AdS-CFT Correspondence, Black Holes | ||||||||||||
Issue or Number: | 10 | ||||||||||||
DOI: | 10.1007/jhep10(2021)205 | ||||||||||||
Record Number: | CaltechAUTHORS:20211124-183511245 | ||||||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20211124-183511245 | ||||||||||||
Official Citation: | Goto, K., Kusuki, Y., Tamaoka, K. et al. Product of random states and spatial (half-)wormholes. J. High Energ. Phys. 2021, 205 (2021). https://doi.org/10.1007/JHEP10(2021)205 | ||||||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
ID Code: | 112047 | ||||||||||||
Collection: | CaltechAUTHORS | ||||||||||||
Deposited By: | Tony Diaz | ||||||||||||
Deposited On: | 24 Nov 2021 18:47 | ||||||||||||
Last Modified: | 24 Nov 2021 18:47 |
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