arXiv:2211.17195 Abstract | arXiv Analytics

arXiv:2211.17195 [math.CO]Abstract References Reviews Resources

Gauge theory on graphs

Published 2022-11-30Version 1

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

Comments: 15 pages,4 figures

Categories: math.CO, hep-lat

Subjects: 05C10

Keywords: gauge theory, exterior covariant derivatives, discrete yang-mills functional, connection laplacians, euler-lagrange equations

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