Imperial College London

Prof Fay Dowker

Faculty of Natural SciencesDepartment of Physics

Professor of Theoretical Physics







Mrs Graziela De Nadai-Sowrey +44 (0)20 7594 7843




Huxley BuildingSouth Kensington Campus






BibTex format

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 = {},
volume = {33},
year = {2016}

RIS format (EndNote, RefMan)

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 -
UR -
VL - 33
ER -