Lattice Models of Quantum Gravity

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dc.creatorBittner, E.
dc.creatorHauke, A.
dc.creatorHolm, C.
dc.creatorJanke, W.
dc.creatorMarkum, H.
dc.creatorRiedler, J.
dc.date1998-07-30
dc.date.accessioned2026-07-07T03:39:57Z
dc.date.available2026-07-07T03:39:57Z
dc.descriptionStandard Regge Calculus provides an interesting method to explore quantum gravity in a non-perturbative fashion but turns out to be a CPU-time demanding enterprise. One therefore seeks for suitable approximations which retain most of its universal features. The $Z_2$-Regge model could be such a desired simplification. Here the quadratic edge lengths $q$ of the simplicial complexes are restricted to only two possible values $q=1+εσ$, with $σ=\pm 1$, in close analogy to the ancestor of all lattice theories, the Ising model. To test whether this simpler model still contains the essential qualities of the standard Regge Calculus, we study both models in two dimensions and determine several observables on the same lattice size. In order to compare expectation values, e.g. of the average curvature or the Liouville field susceptibility, we employ in both models the same functional integration measure. The phase structure is under current investigation using mean field theory and numerical simulation.
dc.description4 pages, 1 figures
dc.identifierhttps://arxiv.org/abs/hep-lat/9807041
dc.identifierhttp://arxiv.org/abs/hep-lat/9807041
dc.identifierFrontiers in Quantum Physics (Springer 1998) pp. 303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39147
dc.subjectHigh Energy Physics - Lattice
dc.titleLattice Models of Quantum Gravity
dc.typetext

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