# Wilson action equations of motion

Let $$S_W$$ be a Wilson action of $$1\times 1$$ plaquettes for a gauge group $$G$$: $$\begin{equation*} S_W = \beta a^4 \sum_P \left( 1-\frac{1}{N_G} \text{Re Tr}(U_P) \right), \end{equation*}$$ where $$\beta$$ is a positive constant, $$a$$ is the lattice parameter, $$N_G$$ is the dimension of the matrices of the fundamental representation of $$G$$, and the $$U_P$$ are defined as: $$$$U_P \equiv \mathcal{P} e^{i \oint_{\partial P} A}.$$$$ For a path ordering operator $$\mathcal{P}$$ and a gauge $$\mathfrak{g}$$-valued 1-form $$A$$. My question is: What are the equations of motion of such action? In particular I don't know if I can use the Euler-Lagrange equations since we are on a discrete set of points.