Nonlocal non-Abelian gauge theory: Conformal invariance and \nβ\n-function

Abstract

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.