A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills

Details A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills A Manifestly Gauge Invariant and Universal Calculus for SU(N) Yang-Mills

2006-02-22

arxiv.org/abs/hep-th/0602229v3

Int.J.Mod.Phys.A21:4627-4762,2006

Physics

High Energy Physics

High Energy Physics - Theory

128 pages, 89 figures; v2: published in ijmpa - intro extended, refs added, refinements and minor corrections made; v3 small c

Scientific paper

10.1142/S0217751X06033040

Within the framework of the Exact Renormalization Group, a manifestly gauge invariant calculus is constructed for SU(N) Yang-Mills. The methodology is comprehensively illustrated with a proof, to all orders in perturbation theory, that the beta function has no explicit dependence on either the seed action or details of the covariantization of the cutoff. The cancellation of these non-universal contributions is done in an entirely diagrammatic fashion.

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