Timelike boundary and corner terms in the causal set action

2024/12/30 by Fay Dowker, R. Liu, Dowker, Fay +2
Engineering · #Control and Stability of Dynamical Systems #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · pdf · doi:10.48550/arxiv.2501.00139

openalex publication_date 2024/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

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.

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