Fractal geometry of higher derivative gravity
General Relativity and Quantum Cosmology
2020-04-22 v2
Abstract
We determine the scaling properties of geometric operators such as lengths, areas, and volumes in models of higher derivative quantum gravity by renormalizing appropriate composite operators. We use these results to deduce the fractal dimensions of such hypersurfaces embedded in a quantum spacetime at very small distances.
Cite
@article{arxiv.1911.02415,
title = {Fractal geometry of higher derivative gravity},
author = {Maximilian Becker and Carlo Pagani and Omar Zanusso},
journal= {arXiv preprint arXiv:1911.02415},
year = {2020}
}
Comments
5 pages, to appear in PRL