An Almost Complete Yang-Mills Calculation

I present an analytic framework for effective \(SU(N)\) Yang-Mills theories in the four-dimensional continuum. I use Background and effective field theory techniques to include non-perturbative contributions from diagonal elements of the quartic interaction terms. This approach is inspired by Savvidy, who claims select first-order contributions from quartic interactions stabilize IR divergence found at one-loop order, making IR finite Yang-Mills calculations possible. I assess the potential of this claim in extending Savvidy's analysis to include all diagonal quartic interaction terms.