Renormalisability of the matter determinants in noncommutative gauge theory in the enveloping-algebra formalism

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dc.creatorMartin, C. P.
dc.creatorTamarit, C.
dc.date2007-06-27
dc.date.accessioned2026-07-07T10:56:29Z
dc.date.available2026-07-07T10:56:29Z
dc.descriptionWe consider noncommutative gauge theory defined by means of Seiberg-Witten maps for an arbitrary semisimple gauge group. We compute the one-loop UV divergent matter contributions to the gauge field effective action to all orders in the noncommutative parameters $θ$. We do this for Dirac fermions and complex scalars carrying arbitrary representations of the gauge group. We use path-integral methods in the framework of dimensional regularisation and consider arbitrary invertible Seiberg-Witten maps that are linear in the matter fields. Surprisingly, it turns out that the UV divergent parts of the matter contributions are proportional to the noncommutative Yang-Mills action where traces are taken over the representation of the matter fields; this result supports the need to include such traces in the classical action of the gauge sector of the noncommutative theory.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0706.4052
dc.identifierhttp://arxiv.org/abs/0706.4052
dc.identifierPhys.Lett.B658:170-173,2008
dc.identifierdoi:10.1016/j.physletb.2007.08.033
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186429
dc.subjectHigh Energy Physics - Theory
dc.titleRenormalisability of the matter determinants in noncommutative gauge theory in the enveloping-algebra formalism
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