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BibTex format

@article{Belenchia:2016:24/245018,
author = {Belenchia, A and Benincasa, DMT and Dowker, F},
doi = {24/245018},
journal = {Classical and Quantum Gravity},
title = {The continuum limit of a 4-dimensional causal set scalar d’Alembertian},
url = {http://dx.doi.org/10.1088/0264-9381/33/24/245018},
volume = {33},
year = {2016}
}

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TY  - JOUR
AB  - The continuum limit of a 4-dimensional, discrete d'Alembertian operator for scalar fields on causal sets is studied. The continuum limit of the mean of this operator in the Poisson point process in 4-dimensional Minkowski spacetime is shown to be the usual continuum scalar d'Alembertian $\square $ . It is shown that the mean is close to the limit when there exists a frame in which the scalar field is slowly varying on a scale set by the density of the Poisson process. The continuum limit of the mean of the causal set d'Alembertian in 4-dimensional curved spacetime is shown to equal $\square -\frac{1}{2}R$ , where R is the Ricci scalar, under certain conditions on the spacetime and the scalar field.
AU  - Belenchia,A
AU  - Benincasa,DMT
AU  - Dowker,F
DO  - 24/245018
PY  - 2016///
SN  - 0264-9381
TI  - The continuum limit of a 4-dimensional causal set scalar d’Alembertian
T2  - Classical and Quantum Gravity
UR  - http://dx.doi.org/10.1088/0264-9381/33/24/245018
UR  - http://hdl.handle.net/10044/1/43575
VL  - 33
ER  -

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