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

Alexander Schenkel, Christoph F. Uhlemann

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
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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 \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.
Original languageEnglish
Pages (from-to)258-260
Number of pages3
JournalPhys.Lett.B
Volume694
DOIs
Publication statusPublished - 23 Feb 2010

Bibliographical note

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

Keywords

  • hep-th

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