Twisted Poincare Invariance, Noncommutative Gauge Theories and UV-IR Mixing

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dc.creatorBalachandran, A. P.
dc.creatorPinzul, A.
dc.creatorQueiroz, A. R.
dc.date2008-04-22
dc.date2008-04-22
dc.date.accessioned2026-07-07T11:50:07Z
dc.date.available2026-07-07T11:50:07Z
dc.descriptionIn the absence of gauge fields, quantum field theories on the Groenewold-Moyal (GM) plane are invariant under a twisted action of the Poincare group if they are formulated following [1, 2, 3, 4, 5, 6]. In that formulation, such theories also have no UV-IR mixing [7]. Here we investigate UV-IR mixing in gauge theories with matter following the approach of [3, 4]. We prove that there is UV-IR mixing in the one-loop diagram of the S-matrix involving a coupling between gauge and matter fields on the GM plane, the gauge field being nonabelian. There is no UV-IR mixing if it is abelian.
dc.description11 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0804.3588
dc.identifierhttp://arxiv.org/abs/0804.3588
dc.identifierPhys.Lett.B668:241-245,2008
dc.identifierdoi:10.1016/j.physletb.2008.08.052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203465
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectQuantum Algebra
dc.titleTwisted Poincare Invariance, Noncommutative Gauge Theories and UV-IR Mixing
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