Causal set d'Alembertians for various dimensions

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.

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

References in corpus (3)

• The causal set approach to quantum gravity
• The Random Discrete Action for 2-Dimensional Spacetime
• Does Locality Fail at Intermediate Length-Scales

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