Gauge theory on graphs
Abstract
In this paper, we provide the notions of connection $1$-forms and curvature $2$-forms on graphs. We prove a Weitzenböck formula for connection Laplacians in this setting. We also define a discrete Yang-Mills functional and study its Euler-Lagrange equations.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2022
- DOI:
- 10.48550/arXiv.2211.17195
- arXiv:
- arXiv:2211.17195
- Bibcode:
- 2022arXiv221117195J
- Keywords:
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- Mathematics - Combinatorics;
- High Energy Physics - Lattice;
- 05C10
- E-Print:
- 24 pages,4 figures