Gauge theory on graphs
Combinatorics
2023-05-18 v2 High Energy Physics - Lattice
Abstract
In this paper, we provide the notions of connection -forms and curvature -forms on graphs. We prove a Weitzenb\"ock formula for connection Laplacians in this setting. We also define a discrete Yang-Mills functional and study its Euler-Lagrange equations.
Cite
@article{arxiv.2211.17195,
title = {Gauge theory on graphs},
author = {Shuhan Jiang},
journal= {arXiv preprint arXiv:2211.17195},
year = {2023}
}
Comments
24 pages,4 figures