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Timelike boundary and corner terms in the causal set action

Abstract:
The causal set action of dimension d is investigated for causal sets that are Poisson sprinklings into manifolds that are regions of d-dimensional Minkowski space. Evidence, both analytic and numerical, is provided for the conjecture that as the discreteness length l tends to zero, the mean of the causal set action over Poisson sprinklings into a manifold with a timelike boundary, is dominated by a term proportional to the volume of the timelike boundary and diverges like l−1. A novel conjecture for the contribution to the causal set action from co-dimension two corners, also known as joints, is proposed and justified.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1088/1361-6382/ae0be5

Authors

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Role:
Author
ORCID:
0000-0002-6652-1058
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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0009-0000-4396-7914
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Role:
Author
ORCID:
0009-0005-2005-1627



Publisher:
IOP Publishing
Journal:
Classical and Quantum Gravity More from this journal
Volume:
42
Issue:
20
Article number:
205006
Publication date:
2025-10-13
Acceptance date:
2025-09-25
DOI:
EISSN:
1361-6382
ISSN:
0264-9381


Language:
English
Keywords:
Pubs id:
2309710
Local pid:
pubs:2309710
Source identifiers:
3365852
Deposit date:
2025-10-13
ARK identifier:
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