Abstract
We apply an improved renormalization group analysis for pure Yang-Mills theory in four dimensions in the Landau gauge and O(N) nonlinear sigma model in two dimensions. We find a pole in the gluon two-point function at one-loop order, which is generated non-perturbatively. In Yang-Mills theory this may correspond to the expectation value of a gauge invariant operator and emerges as MP/ΛMS ≃ 0.81, where ΛMS is the MS scale.
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