Title:	Entanglement entropy of causal set de Sitter horizons
Authors:	Surya, Sumati X, Nomaan Yazdi K, Yasaman
Keywords:	causal sets entanglement entropy de Sitter spacetime SJ vacuum discrete spacetime area law black hole entropy
Issue Date:	Jun-2021
Publisher:	IOP Publishing
Citation:	Classical and Quantum Gravity, 2021, Vol. 38, p115001
Abstract:	de Sitter (dS) cosmological horizons are known to exhibit thermodynamic properties similar to black hole horizons. In this work we study causal set dS horizons, using Sorkin's spacetime entanglement entropy (SSEE) formula, for a conformally coupled quantum scalar field. We calculate the causal set SSEE for the Rindler-like wedge of a symmetric slab of dS spacetime in d = 2, 4 spacetime dimensions using the Sorkin–Johnston vacuum state. We find that the SSEE obeys an area law when the spectrum of the Pauli–Jordan operator is appropriately truncated in both the dS slab as well as its restriction to the Rindler-like wedge. Without this truncation, the SSEE satisfies a volume law. This is in agreement with Sorkin and Yazdi's calculations for the causal set SSEE for nested causal diamonds in ${\mathbb{M}}^{2}$, where they showed that an area law is obtained only after truncating the Pauli–Jordan spectrum. In this work we explore different truncation schemes with the criterion that the SSEE so obtained obeys an area law
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/7769
ISSN:	0264-9381 1361-6382 (Online)
Alternative Location:	https://arxiv.org/abs/2008.07697 https://doi.org/10.1088/1361-6382/abf279 https://ui.adsabs.harvard.edu/abs/2020arXiv200807697S/abstract
Copyright:	2021, IOP Publishing
Appears in Collections:	Research Papers (TP)

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