Gauge invariant regularization via SU(N|N)
Gauge invariant regularization via SU(N|N)
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.
gauge-invariant, regularisation, exact renormalisation group, yang–mills, non-abelian gauge theory, covariant higher derivatives, covariant pauli–villars fields
2283-2330
Arnone, Stefano
d2a9a0a5-34fd-4205-b5f4-107208f44fb2
Kubyshin, Yuri A.
1619835f-5d10-4ed9-8875-7593c51bba66
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Tighe, John F.
fceab9a2-868e-4230-9eaa-5a245fa6cee5
10 July 2002
Arnone, Stefano
d2a9a0a5-34fd-4205-b5f4-107208f44fb2
Kubyshin, Yuri A.
1619835f-5d10-4ed9-8875-7593c51bba66
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Tighe, John F.
fceab9a2-868e-4230-9eaa-5a245fa6cee5
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), .
(doi:10.1142/S0217751X02009722).
Abstract
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
Identifiers
Local EPrints ID: 28838
URI: http://eprints.soton.ac.uk/id/eprint/28838
ISSN: 0217-751X
PURE UUID: e8c162b4-69ff-4e96-9c66-2d74f081cf33
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Date deposited: 08 May 2006
Last modified: 16 Mar 2024 02:36
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Contributors
Author:
Stefano Arnone
Author:
Yuri A. Kubyshin
Author:
John F. Tighe
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