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arXiv · 0804.3588

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

A. P. Balachandran·A. Pinzul·A. R. Queiroz
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Abstract

In 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.

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A. P. Balachandran, A. Pinzul, A. R. Queiroz. 2008-04-22. Twisted Poincare Invariance, Noncommutative Gauge Theories and UV-IR Mixing. https://doi.org/10.1016/j.physletb.2008.08.052

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