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

Schenkel, Alexander; F. Uhlemann, Christoph

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.

• Journal Article Type: Article
• Acceptance Date: Sep 30, 2010
• Online Publication Date: Oct 2, 2010
• Publication Date: Nov 8, 2010
• Deposit Date: Aug 22, 2019
• Journal: Physics Letters B
• Print ISSN: 0370-2693
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 694
• Issue: 3
• Pages: 258-260
• DOI: https://doi.org/10.1016/j.physletb.2010.09.066
• Keywords: High Energy Physics - Theory
• Public URL: https://nottingham-repository.worktribe.com/output/2460596
• Publisher URL: https://www.sciencedirect.com/science/article/abs/pii/S0370269310011664