Boundary contributions in the causal set action
General Relativity and Quantum Cosmology
2020-07-29 v2
Abstract
Evidence is provided for a conjecture that, in the continuum limit, the mean of the causal set action of a causal set sprinkled into a globally hyperbolic Lorentzian spacetime, M, of finite volume equals the Einstein Hilbert action of M plus the volume of the co-dimension 2 intersection of the future boundary with the past boundary. We give the heuristic argument for this conjecture and analyse some examples in 2 dimensions and one example in 4 dimensions.
Cite
@article{arxiv.2007.13206,
title = {Boundary contributions in the causal set action},
author = {Fay Dowker},
journal= {arXiv preprint arXiv:2007.13206},
year = {2020}
}
Comments
21 pages, 4 figures. Second version with arXiv reference added and typos corrected