A Toy Model of Discretized Gravity in Two Dimensions and its Extentions
High Energy Physics - Theory
2017-08-28 v3 General Relativity and Quantum Cosmology
Abstract
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 space-time. We also consider the extensions of the model to higher dimensions.
Keywords
Cite
@article{arxiv.1703.06374,
title = {A Toy Model of Discretized Gravity in Two Dimensions and its Extentions},
author = {Marcello Rotondo and Shin'ichi Nojiri},
journal= {arXiv preprint arXiv:1703.06374},
year = {2017}
}
Comments
LaTeX 7 pages, version to appear in MPLA