English

Causal set d'Alembertians for various dimensions

General Relativity and Quantum Cosmology 2013-09-13 v2

Abstract

We propose, for dimension d, a discrete Lorentz invariant operator on scalar fields that approximates the Minkowski spacetime scalar d'Alembertian. For each dimension, this gives rise to a scalar curvature estimator for causal sets, and thence to a proposal for a causal set action.

Keywords

Cite

@article{arxiv.1305.2588,
  title  = {Causal set d'Alembertians for various dimensions},
  author = {Fay Dowker and Lisa Glaser},
  journal= {arXiv preprint arXiv:1305.2588},
  year   = {2013}
}

Comments

14 pages, 1 figure, published in Class. Quantum Grav (text and figure were updated to agree with the published version)

R2 v1 2026-06-22T00:15:04.904Z