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We show that the Yang-Mills quantum field theory with momentum and spacetimecutoffs in four Euclidean dimensions is equivalent, term by term in anappropriately resummed perturbation theory, to a Fermionic theory with nonlocalinteraction terms. When a further momentum cutoff is imposed, this Fermionictheory has a convergent perturbation expansion. To zeroth order in thisperturbation expansion, the correlation function $E(x,y)$ of generic componentsof pairs of connections is given by an explicit, finite-dimensional integralformula, which we conjecture will behave as $$E(x,y) \sim |x - y|^{-2 - 2d_G},$$ \noindent for $|x-y|>>0,$ where $d_G$ is a positive integer dependingon the gauge group $G.$ In the case where $G=SU(n),$ we conjecture that $$d_G ={\rm dim}SU(n) - {\rm dim}S(U(n-1) \times U(1)),$$ \noindent so that the rateof decay of correlations increases as $n \to \infty.$

Fermionization, Convergent Perturbation Theory, and Correlations in the Yang-Mills Quantum Field Theory in Four Dimensions