Confinement and renormalization group equations in string-inspired nonlocal gauge theories

As an extension of the weak perturbation theory obtained in recent analysis on infinite-derivative non-local non-Abelian gauge theories motivated from p-adic string field theory, and postulated as direction UV-completion 4-D Quantum Field Theory (QFT), here we investigate confinement conditions $\beta-$function strong coupling regime. We extend criterion, previously by Kugo Ojima for local based Becchi-Rouet-Stora-Tyutin (BRST) invariance, to using a set exact solutions corresponding theory. show that infinite-derivatives which are active UV provides finite contributions also infrared (IR) limit provide proof confinement, granted absence Landau pole. The main difference with case is IR fixed point moved infinity. energy scale non-locality $M \rightarrow \infty$ reproduce results see how asymptotic freedom properly recovered.