High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing

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=2 in the ultraviolet (UV). For a Φ^4-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.

4 pages, no figures, elsarticle.cls; references added

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Cited by in corpus (3)

• Field Theory on Curved Noncommutative Spacetimes
• Dirac Operators on Noncommutative Curved Spacetimes
• On the UV/IR mixing of Lie algebra-type noncommutatitive ${\varphi }^4$-theories