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A GAUGE INVARIANT REGULATOR FOR THE ERG

2001/02/09 by Stefano Arnone, S. Arnone, Yu. A. Kubyshin +4 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1142/s0217751x0100461x

published as Int.J.Mod.Phys. A16 (2001) 1989 · 13 pages, 2 figures, uses ws-p9-75x6-50.cls, talk presented at the 2nd Conference on the Exact RG, Rome 2000

arxiv created 2001/02/09 · openalex publication_date 2001/04/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A gauge invariant regularisation for dealing with pure Yang-Mills theories within the exact renormalization group approach is proposed. It is based on the regularisation via covariant higher derivatives and includes auxiliary Pauli-Villars fields which amounts to a spontaneously broken SU(N|N) super-gauge theory. We demonstrate perturbatively that the extended theory is ultra-violet finite in four dimensions and argue that it has a sensible limit when the regularization cutoff is removed.

Citations

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