A gauge invariant regulator for the ERG
High Energy Physics - Theory
2009-11-07 v1
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.
Cite
@article{arxiv.hep-th/0102054,
title = {A gauge invariant regulator for the ERG},
author = {S. Arnone and Yu. A. Kubyshin and T. R. Morris and J. F. Tighe},
journal= {arXiv preprint arXiv:hep-th/0102054},
year = {2009}
}
Comments
13 pages, 2 figures, uses ws-p9-75x6-50.cls, talk presented at the 2nd Conference on the Exact RG, Rome 2000