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High Energy Physics - Theory

arXiv:hep-th/0511107 (hep-th)
[Submitted on 9 Nov 2005 (v1), last revised 7 Jun 2006 (this version, v2)]

Title:Scheme Independence to all Loops

Authors:Oliver J. Rosten
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Abstract: 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.
Comments: 18 pages, 8 figures; Proceedings of Renormalization Group 2005, Helsinki, Finland, 30th August - 3 September 2005. v2: Published in jphysa; minor changes / refinements; refs. added
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Phenomenology (hep-ph)
Report number: SHEP 05-34
Cite as: arXiv:hep-th/0511107
  (or arXiv:hep-th/0511107v2 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0511107
Journal reference: J.Phys. A39 (2006) 8141-8156
Related DOI: https://doi.org/10.1088/0305-4470/39/25/S24

Submission history

From: Oliver Rosten [view email]
[v1] Wed, 9 Nov 2005 14:12:02 UTC (23 KB)
[v2] Wed, 7 Jun 2006 13:03:32 UTC (26 KB)
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