Scheme Independence to all Loops

Details Scheme Independence to all Loops Scheme Independence to all Loops

2005-11-09

arxiv.org/abs/hep-th/0511107v2

J.Phys. A39 (2006) 8141-8156

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 8 figures; Proceedings of Renormalization Group 2005, Helsinki, Finland, 30th August - 3 September 2005. v2: Publish

Scientific paper

10.1088/0305-4470/39/25/S24

The immense freedom in the construction of Exact Renormalization Groups means that the many non-universal details of the formalism need never be exactly specified, instead satisfying only general constraints. In the context of a manifestly gauge invariant Exact Renormalization Group for SU(N) Yang-Mills, we outline a proof that, to all orders in perturbation theory, all explicit dependence of beta function coefficients on both the seed action and details of the covariantization cancels out. Further, we speculate that, within the infinite number of renormalization schemes implicit within our approach, the perturbative beta function depends only on the universal details of the setup, to all orders.

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