Preprint 36/2022

Gauge theory on graphs

Shuhan Jiang

Contact the author: Please use for correspondence this email.
Submission date: 02. Dec. 2022
Pages: 17
MSC-Numbers: 05C10
Download full preprint: PDF (355 kB)
Link to arXiv: See the arXiv entry of this preprint.

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.

17.12.2022, 02:20