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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/6914
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dc.contributor.authorGlaser, Lisa-
dc.contributor.authorOconnor, Denjoe-
dc.contributor.authorSurya, Sumati-
dc.date.accessioned2018-05-27T22:06:00Z-
dc.date.available2018-05-27T22:06:00Z-
dc.date.issued2018-02-
dc.identifier.citationClassical and Quantum Gravity, 2018, Vol.35, P045006en_US
dc.identifier.issn0264-9381-
dc.identifier.issn1361-6382 (E)-
dc.identifier.urihttp://hdl.handle.net/2289/6914-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractWe study the dependence on size, N, of 2d causal set quantum gravity. This theory is known to exhibit a phase transition as the analytic continuation parameter β, akin to an inverse temperature, is varied. Using a scaling analysis we find that the asymptotic regime is reached at relatively small values of N. Focussing on the \newcommand{\twod}{2d} \twod causal set action S, we find that \newcommand{\av}[1]< #1 > \newcommand{\ep}ε \newcommand{\e}{e} \newcommand{\be}{\barε} β \av{S} scales like N^ν where the scaling exponent ν takes different values on either side of the phase transition. For \newcommand{\ep}ε \newcommand{\e}{e} \newcommand{\be}{\barε} β > βc we find that ν=2 which is consistent with our analytic predictions for a non-continuum phase in the large β regime. For \newcommand{\ep}ε \newcommand{\e}{e} \newcommand{\be}{\barε} β<βc we find that ν=0 , consistent with a continuum phase of constant negative curvature thus suggesting a dynamically generated cosmological constant. Moreover, we find strong evidence that the phase transition is first order. Our results strongly suggest that the asymptotic regime is reached in \newcommand{\twod}{2d} \twod causal set quantum gravity for N ≳ 65 .en_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltd.en_US
dc.relation.urihttps://arxiv.org/abs/1706.06432en_US
dc.relation.urihttp://dx.doi.org/10.1088/1361-6382/aa9540en_US
dc.relation.urihttp://adsabs.harvard.edu/cgi-bin/bib_query?arXiv:1706.06432en_US
dc.rights2018 IOP Publishing Ltd.en_US
dc.subjectquantum gravityen_US
dc.subjectMonte Carlo Simulationsen_US
dc.titleFinite size scaling in 2d causal set quantum gravity.en_US
dc.typeArticleen_US
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