Gauge theory on graphs
1 Citations•2022•
Shu-han Jiang
journal unavailable
A Weitzenbock formula for connection Laplacians in this setting is proved and a discrete Yang-Mills functional is defined and studied to study its Euler-Lagrange equations.
Abstract
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.