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Within the framework of the Exact Renormalization Group, a manifestly gaugeinvariant calculus is constructed for SU(N) Yang-Mills. The methodology iscomprehensively illustrated with a proof, to all orders in perturbation theory,that the beta function has no explicit dependence on either the seed action ordetails of the covariantization of the cutoff. The cancellation of thesenon-universal contributions is done in an entirely diagrammatic fashion.Comment: 128 pages, 89 figures; v2: published in ijmpa - intro extended, refs  added, refinements and minor corrections made; v3 small corrections made  compared to published versio

A MANIFESTLY GAUGE INVARIANT AND UNIVERSAL CALCULUS FORSU(N) YANG–MILLS