# Gauge theory on graphs

@inproceedings{Jiang2022GaugeTO, title={Gauge theory on graphs}, author={Shu-han Jiang}, year={2022} }

In this paper, we provide the notions of connection $1$-forms and curvature $2$-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.

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