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High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing
Authors:Alexander Schenkel  Christoph F. Uhlemann
Affiliation:Institut für Theoretische Physik und Astrophysik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany
Abstract:We consider an interacting scalar quantum field theory on noncommutative Euclidean space. We implement a family of noncommutative deformations, which – in contrast to the well known Moyal–Weyl deformation – lead to a theory with modified kinetic term, while all local potentials are unaffected by the deformation. We show that our models, in particular, include propagators with anisotropic scaling z=2z=2 in the ultraviolet (UV). For a Φ4Φ4-theory on our noncommutative space we obtain an improved UV behaviour at the one-loop level and the absence of UV/IR-mixing and of the Landau pole.
Keywords:Noncommutative geometry   Star-products   Quantum field theory
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