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arXiv · hep-th/0102054

A gauge invariant regulator for the ERG

S. Arnone·Yu. A. Kubyshin·T. R. Morris·J. F. Tighe
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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.

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S. Arnone, Yu. A. Kubyshin, T. R. Morris, J. F. Tighe. 2001-02-09. A gauge invariant regulator for the ERG. https://doi.org/10.1142/s0217751x0100461x

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