Boundary contributions in the causal set action
File(s)
OA Location
Author(s)
Dowker, Fay
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.
Date Issued
2021-03-10
Date Acceptance
2020-10-20
Citation
Classical and Quantum Gravity, 2021, 38 (7)
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.
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.
License URL
Identifier
https://iopscience.iop.org/article/10.1088/1361-6382/abc2fd
Subjects
gr-qc
gr-qc
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status
Published
Article Number
ARTN 075018
Date Publish Online
2020-10-20