# Prof Fay Dowker

Faculty of Natural SciencesDepartment of Physics

Professor of Theoretical Physics

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### Assistant

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

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### Location

Huxley BuildingSouth Kensington Campus

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# Citation

## 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}}

## RIS format (EndNote, RefMan)

TY  - JOURAB  - 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,AAU  - Benincasa,DMTAU  - Dowker,FDO  - 24/245018PY  - 2016///SN  - 0264-9381TI  - The continuum limit of a 4-dimensional causal set scalar d’AlembertianT2  - Classical and Quantum GravityUR  - http://dx.doi.org/10.1088/0264-9381/33/24/245018UR  - http://hdl.handle.net/10044/1/43575VL  - 33ER  -