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Boundary contributions in the causal set action

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Dowker_2020_Class._Quantum_Grav._10.1088_1361-6382_abc2fd.pdfAccepted version519.48 kBAdobe PDFView/Open
Title: Boundary contributions in the causal set action
Authors: Dowker, F
Item Type: Journal Article
Abstract: Evidence is provided for a conjecture that, in the continuum limit, the mean of the causal set action of a causal set sprinkled into a globally hyperbolic Lorentzian spacetime, M, of finite volume equals the Einstein Hilbert action of M plus the volume of the co-dimension 2 intersection of the future boundary with the past boundary. We give the heuristic argument for this conjecture and analyse some examples in 2 dimensions and one example in 4 dimensions.
Issue Date: 10-Mar-2021
Date of Acceptance: 20-Oct-2020
URI: http://hdl.handle.net/10044/1/85708
DOI: 10.1088/1361-6382/abc2fd
ISSN: 0264-9381
Publisher: IOP Publishing
Journal / Book Title: Classical and Quantum Gravity
Volume: 38
Issue: 7
Copyright Statement: As the Version of Record of this article is going to be/has been published on a gold open access basis under a CC BY 3.0 licence, this Accepted Manuscript is available for reuse under a CC BY 3.0 licence immediately. Although reasonable endeavours have been taken to obtain all necessary permissions from third parties to include their copyrighted content within this article, their full citation and copyright line may not be present in this Accepted Manuscript version. Before using any content from this article, please refer to the Version of Record on IOPscience once published for full citation and copyright details, as permission may be required. All third party content is fully copyright protected, and is not published on a gold open access basis under a CC BY licence, unless that is specifically stated in the figure caption in the Version of Record.
Keywords: gr-qc
gr-qc
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Open Access location: https://doi.org/10.1088/1361-6382/abc2fd
Article Number: ARTN 075018
Online Publication Date: 2020-10-20
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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