{"arxiv_id":"hep-th/9312158","incoming":{"papers":9,"sentences":22,"groups":[{"kind":"extends","label":"Builds on it","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2405.00594","title":"Anomalous diffusion and factor ordering in (1+1)-dimensional Lorentzian quantum gravity","url":"/paper/2405.00594","section":"Amplitude for propagation from a Big Bang","sentence":"Using a spectral decomposition, the propagator can be expressed in terms of a basis $ψ_n(ℓ)$ of eigenfunctions and associated eigenvalues $E_n$ of $Ĥ$: [equation] This approach was used in [ref] ; we generalize the computation therein to the case of varied factor ordering.","intent_p":0.83,"contests_p":null}]},{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":2,"quotes":[{"arxiv_id":"2405.00594","title":"Anomalous diffusion and factor ordering in (1+1)-dimensional Lorentzian quantum gravity","url":"/paper/2405.00594","section":"Introduction","sentence":"To investigate how factor ordering of the canonically quantized Wheeler-DeWitt operator affects predictions for quantum geometry, we use a reduced model of Lorentzian (1+1)-dimensional gravity as in [ref] , where the constructions involved are more rigorously understood than in the physical (3+1)-dimensional case.","intent_p":0.91,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":2,"sentences":2,"quotes":[{"arxiv_id":"2407.18120","title":"What is the Curvature of 2D Euclidean Quantum Gravity?","url":"/paper/2407.18120","section":"The three geometric ensembles","sentence":"The other universality class is that of Lorentzian or causal models, characterized by $d_H = 2$, $d_S = 2$ and $γ = 1/2$ and contains 2D gravity in proper-time gauge [ref] , 2D CDT [ref] and the uniform infinite planar tree [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"2109.04414","title":"The cylinder amplitude in the Hard Dimer model on 2D Causal Dynamical Triangulations","url":"/paper/2109.04414","section":"Introduction","sentence":"A Hamiltonian operator and cylinder (or loop-loop) amplitude emerge (see [ref] for a review) which reproduce results first obtained in [ref] by a proper-time gauge calculation in 1+1D continuum gravity.","intent_p":0.89,"contests_p":null}]}],"unlabelled_sentences":17},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/hep-th/9312158"}}