Hausdorff dimension of fermions on a random lattice
High Energy Physics - Lattice
2022-12-15 v1
Abstract
Geometric properties of lattice quantum gravity in two dimensions are studied numerically via Monte Carlo on Euclidean Dynamical Triangulations. A new computational method is proposed to simulate gravity coupled with fermions, which allows the study of interacting theories on a lattice, such as non-Riemannian gravity models. This was tested on Majorana spinors, where we obtained a Hausdorff dimension dW = 4.22 +/- 0.03, consistent with the bounds from the literature 4.19 < dH < 4.21.
Keywords
Cite
@article{arxiv.2212.07412,
title = {Hausdorff dimension of fermions on a random lattice},
author = {Mattia Varrone and William E V Barker},
journal= {arXiv preprint arXiv:2212.07412},
year = {2022}
}