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Gauge invariant regularization via SU(N|N)

Arnone, Stefano, Kubyshin, Yuri A., Morris, Tim R. and Tighe, John F. (2002) Gauge invariant regularization via SU(N|N) International Journal of Modern Physics A, 17, (17), pp. 2283-2330. (doi:10.1142/S0217751X02009722).

Record type: Article


We construct a gauge invariant regularisation scheme for pure SU(N) Yang-Mills theory in fixed dimension four or less (for N = infinity in all dimensions), with a physical cutoff scale Lambda, by using covariant higher derivatives and spontaneously broken SU(N|N) supergauge invariance. Providing their powers are within certain ranges, the covariant higher derivatives cure the superficial divergence of all but a set of one-loop graphs. The finiteness of these latter graphs is ensured by properties of the supergroup and gauge invariance. In the limit Lambda tends to infinity, all the regulator fields decouple and unitarity is recovered in the renormalized pure SU(N) Yang-Mills theory. By demonstrating these properties, we prove that the regularisation works to all orders in perturbation theory.

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Published date: 10 July 2002
Keywords: gauge-invariant, regularisation, exact renormalisation group, yang–mills, non-abelian gauge theory, covariant higher derivatives, covariant pauli–villars fields


Local EPrints ID: 28838
ISSN: 0217-751X
PURE UUID: e8c162b4-69ff-4e96-9c66-2d74f081cf33
ORCID for Tim R. Morris: ORCID iD

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Date deposited: 08 May 2006
Last modified: 17 Jul 2017 15:59

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Author: Stefano Arnone
Author: Yuri A. Kubyshin
Author: Tim R. Morris ORCID iD
Author: John F. Tighe

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