Elementary Quantum Geometry
High Energy Physics - Theory
2022-04-05 v1 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Abstract
These Lecture Notes provide an elementary introduction to the quantization of two-dimensional quantum gravity. Nothing beyond undergratuate physics and mathematic is required. Explicit formulas for the partition functions for universes with n boundaries are derived, as well as for the so-called two-point function. The latter shows explicitly that the fractal dimension of a typical two-dimensional quantum universe is four.
Cite
@article{arxiv.2204.00859,
title = {Elementary Quantum Geometry},
author = {Jan Ambjorn},
journal= {arXiv preprint arXiv:2204.00859},
year = {2022}
}
Comments
287 pages and many figures