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dc.contributor.authorCunningham, William J-
dc.contributor.authorSurya, Sumati-
dc.date.accessioned2020-03-10T03:32:56Z-
dc.date.available2020-03-10T03:32:56Z-
dc.date.issued2020-02-07-
dc.identifier.citationClassical and Quantum Gravity, 2020, Vol.37, p054002en_US
dc.identifier.issn0264-9381-
dc.identifier.issn1361-6382 (E)-
dc.identifier.urihttp://hdl.handle.net/2289/7453-
dc.descriptionRestricted Access.en_US
dc.description.abstractWe study dimensionally restricted non-perturbative causal set quantum dynamics in 2 and 3 spacetime dimensions with non-trivial global spatial topology. The causal set sample space is generated from causal embeddings into spacetime lattices with global spatial topology S1 and T2 in 2 and 3 dimensions, respectively. The quantum gravity partition function over these sample spaces is studied using Markov Chain Monte Carlo (MCMC) simulations after analytic continuation. In both 2 and 3 dimensions we find a phase transition that separates the dominance of the action from that of the entropy. The action dominated phase is characterised by ``layered'' posets with a high degree of connectivity, while the causal sets in the entropy dominated phase are manifold-like. This phase transition is similar in character to that seen for the sample space of 2 -orders, which are topologically trivial, hence suggesting that this is a generic feature of dimensionally restricted sample spaces. The simulations use a newly developed framework for causal set MCMC calculations. Ours is the first implementation of a causal set dynamics restricted to 3 dimensions.en_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltd.en_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2019arXiv190811647C/abstracten_US
dc.relation.urihttps://arxiv.org/abs/1908.11647en_US
dc.relation.urihttps://doi.org/10.1088/1361-6382/ab60b7en_US
dc.rights2020 IOP Publishing Ltd.en_US
dc.subjectquantum gravityen_US
dc.subjectcausal set theoryen_US
dc.subjectnumericsen_US
dc.titleDimensionally restricted causal set quantum gravity: examples in two and three dimensionsen_US
dc.typeArticleen_US
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