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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/7286
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dc.contributor.authorMathur, Abhishek-
dc.contributor.authorSurya, Sumati-
dc.date.accessioned2019-09-12T18:12:28Z-
dc.date.available2019-09-12T18:12:28Z-
dc.date.issued2019-08-
dc.identifier.citationPhysical Review D, 2019, Vol.100, p045007en_US
dc.identifier.issn2470-0010-
dc.identifier.issn2470-0029 (online)-
dc.identifier.urihttp://hdl.handle.net/2289/7286-
dc.descriptionOpen Accessen_US
dc.description.abstractWe study the massive scalar field Sorkin-Johnston (SJ) Wightman function WS J restricted to a flat 2D causal diamond D of linear dimension L . Our approach is two-pronged. In the first, we solve the central SJ eigenvalue problem explicitly in the small mass regime, up to order (m L )4. This allows us to formally construct WS J up to this order. Using a combination of analytical and numerical methods, we obtain expressions for WS J both in the center and the corner of D , to leading order. We find that in the center, WS J is more like the massless Minkowski Wightman function W0mink than the massive one Wmmink, while in the corner it corresponds to that of the massive mirror Wmmirror. In the second part, in order to explore larger masses, we perform numerical simulations using a causal set approximated by a flat 2D causal diamond. We find that in the center of the diamond the causal set SJ Wightman function WSJ c resembles W0mink for small masses, as in the continuum, but beyond a critical value mc it resembles Wmmink, as expected. Our calculations suggest that unlike Wmmink, WS J has a well-defined massless limit, which mimics the behavior of the Pauli Jordan function underlying the SJ construction. In the corner of the diamond, moreover, WSJ c agrees with Wmmirror for all masses, and not, as might be expected, with the Rindler vacuum.en_US
dc.language.isoenen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.urihttps://arxiv.org/abs/1906.07952en_US
dc.relation.urihttps://doi.org/10.1103/PhysRevD.100.045007en_US
dc.relation.urihttps://ui.adsabs.harvard.edu/abs/2019PhRvD.100d5007M/abstracten_US
dc.rights2019 American Physical Societyen_US
dc.titleSorkin-Johnston vacuum for a massive scalar field in the 2D causal diamonden_US
dc.typeArticleen_US
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