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arXiv 2001-02-09 DOI 10.1142/S0217751X0100461X 0 views

A gauge invariant regulator for the ERG

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

Original · EN

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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