English

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

High Energy Physics - Theory 2010-12-09 v2

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.

Keywords

Cite

@article{arxiv.1002.4191,
  title  = {High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing},
  author = {Alexander Schenkel and Christoph F. Uhlemann},
  journal= {arXiv preprint arXiv:1002.4191},
  year   = {2010}
}

Comments

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