Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6748
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dc.contributor.authorAhmed, Nomaan S-
dc.contributor.authorDowker, Fay-
dc.contributor.authorSurya, Sumati-
dc.date.accessioned2017-09-27T09:56:08Z-
dc.date.available2017-09-27T09:56:08Z-
dc.date.issued2017-06-
dc.identifier.citationClassical and Quantum Gravity, 2017, Vol.34, p124002en_US
dc.identifier.issn0264-9381-
dc.identifier.issn1361-6382 (E)-
dc.identifier.urihttp://hdl.handle.net/2289/6748-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractWe examine the validity and scope of Johnston's models for scalar field retarded Green functions on causal sets in 2 and 4 dimensions. As in the continuum, the massive Green function can be obtained from the massless one, and hence the key task in causal set theory is to first identify the massless Green function. We propose that the 2d model provides a Green function for the massive scalar field on causal sets approximated by any topologically trivial 2-dimensional spacetime. We explicitly demonstrate that this is indeed the case in a Riemann normal neighbourhood. In 4d the model can again be used to provide a Green function for the massive scalar field in a Riemann normal neighbourhood which we compare to Bunch and Parker's continuum Green function. We find that the same prescription can also be used for de Sitter spacetime and the conformally flat patch of anti-de Sitter spacetime. Our analysis then allows us to suggest a generalisation of Johnston's model for the Green function for a causal set approximated by 3-dimensional flat spacetime.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltd.en_US
dc.relation.urihttp://arxiv.org/abs/1701.07212en_US
dc.relation.urihttp://dx.doi.org/10.1088/1361-6382/aa6bc7en_US
dc.relation.urihttp://adsabs.harvard.edu/abs/2017CQGra..34l4002Nen_US
dc.rights2017 IOP Publishing Ltd.en_US
dc.subjectQuantum Gravityen_US
dc.titleScalar field green functions on causal setsen_US
dc.typeArticleen_US
Appears in Collections:Research Papers (TP)

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