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Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change

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arxiv hep-th/9805108 v1 pith:HWDAG2UO submitted 1998-05-18 hep-th gr-qchep-lat

Non-perturbative Lorentzian Quantum Gravity, Causality and Topology Change

classification hep-th gr-qchep-lat
keywords gravitytheorychangecontinuumliouvillelorentzianmatrixmodel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We formulate a non-perturbative lattice model of two-dimensional Lorentzian quantum gravity by performing the path integral over geometries with a causal structure. The model can be solved exactly at the discretized level. Its continuum limit coincides with the theory obtained by quantizing 2d continuum gravity in proper-time gauge, but it disagrees with 2d gravity defined via matrix models or Liouville theory. By allowing topology change of the compact spatial slices (i.e. baby universe creation), one obtains agreement with the matrix models and Liouville theory.

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Cited by 4 Pith papers

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    Topological recursion solves Schwinger-Dyson equations for multicritical and causal dynamical triangulations in 2D quantum gravity, yielding explicit amplitudes.