  This paper focuses on extending our previous discussion of an Abelian U(1)
gauge theory involving infinite derivatives to a non-Abelian SU(N) case. The
renormalization group equation (RGEs) of the SU(N) gauge coupling is calculated
and shown to reproduce the local theory $\beta$-function in the limit of the
non-local scale M $\rightarrow \infty$. Interestingly, the gauge coupling stops
its running beyond the scale $M$, approaching an asymptotically conformal
theory.
