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

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

2010-02-23

arxiv.org/abs/1002.4191v2

Phys.Lett.B694:258-260, 2010

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.physletb.2010.09.066

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 \Phi^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.

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