2021-07-28T03:01:02Zhttps://nagoya.repo.nii.ac.jp/oaioai:nagoya.repo.nii.ac.jp:000249352021-03-01T13:49:43ZA toy model of discretized gravity in two dimensions and its extensionsRotondo, MarcelloNojiri, Shin’ichiElectronic version of an article published as [Modern Physics Letters A. v.32, n.28, 2017, p.1750149] [https://doi.org/10.1142/S0217732317501498] © [copyright World Scientific Publishing Company] [http://www.worldscientific.com/worldscinet/mpla]We propose a toy model of quantum gravity in two dimensions with Euclidean signature. The model is given by a kind of discretization which is different from the dynamical triangulation. We show that there exists a continuum limit and we can calculate some physical quantities such as the expectation value of the area, that is, the volume of the two-dimensional Euclidean spacetime. We also consider the extensions of the model to higher dimensions.World Scientific2017-09-14engjournal articlehttp://hdl.handle.net/2237/27157https://nagoya.repo.nii.ac.jp/records/249350217-7323Modern Physics Letters A322817501491750149https://nagoya.repo.nii.ac.jp/record/24935/files/1703_06374.pdfapplication/pdf92.7 kB2018-09-14