Gauge theory on graphs

Shuhan Jiang

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Submission date: 02. Dec. 2022
Pages: 17
Bibtex
MSC-Numbers: 05C10
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Link to arXiv: See the arXiv entry of this preprint.

Abstract:
In this paper, we provide the notions of connections, exterior covariant derivatives, and connection Laplacians on a graph. We prove a Weitzenböck formula in this setting. We also define a discrete Yang-Mills functional and study the solutions to its Euler-Lagrange equations.