A gauge invariant regulator for the ERG

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.

13 pages, 2 figures, uses ws-p9-75x6-50.cls, talk presented at the 2nd Conference on the Exact RG, Rome 2000

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