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).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1142/S0217751X02009722
Related URLs:
Keywords: gauge-invariant, regularisation, exact renormalisation group, yang–mills, non-abelian gauge theory, covariant higher derivatives, covariant pauli–villars fields
ePrint ID: 28838
Date :
Date Event
10 July 2002Published
Date Deposited: 08 May 2006
Last Modified: 16 Apr 2017 22:24
Further Information:Google Scholar

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