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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.00139 |
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| _version_ | 1866908593082597376 |
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| author | Dowker, Fay Liu, Roger Lloyd-Jones, Daniel |
| author_facet | Dowker, Fay Liu, Roger Lloyd-Jones, Daniel |
| contents | The causal set action of dimension $d$ is investigated for causal sets that are Poisson sprinklings into submanifolds of $d$-dimensional Minkowski space. Evidence, both analytic and numerical, is provided for the conjecture that the mean of the causal set action over sprinklings into a manifold with a timelike boundary, diverges like $l^{-1}$ in the continuum limit as the discreteness length $l$ tends to zero. A novel conjecture for the contribution to the causal set action from co-dimension 2 corners, also known as joints, is proposed and justified. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00139 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Timelike boundary and corner terms in the causal set action Dowker, Fay Liu, Roger Lloyd-Jones, Daniel General Relativity and Quantum Cosmology The causal set action of dimension $d$ is investigated for causal sets that are Poisson sprinklings into submanifolds of $d$-dimensional Minkowski space. Evidence, both analytic and numerical, is provided for the conjecture that the mean of the causal set action over sprinklings into a manifold with a timelike boundary, diverges like $l^{-1}$ in the continuum limit as the discreteness length $l$ tends to zero. A novel conjecture for the contribution to the causal set action from co-dimension 2 corners, also known as joints, is proposed and justified. |
| title | Timelike boundary and corner terms in the causal set action |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2501.00139 |