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 Φ4-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. © 2010 Elsevier B.V.
High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing / Schenkel, Alexander; Uhlemann, Christoph F.. - In: PHYSICS LETTERS. SECTION B. - ISSN 0370-2693. - 694:3(2010), pp. 258-260. [10.1016/j.physletb.2010.09.066]
High energy improved scalar quantum field theory from noncommutative geometry without UV/IR-mixing
Schenkel, Alexander;
2010-01-01
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 Φ4-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. © 2010 Elsevier B.V.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
