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

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 Φ^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.

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

References in corpus (5)

• Quantum Gravity at a Lifshitz Point
• A Gravity Theory on Noncommutative Spaces
• Vanishing of Beta Function of Non Commutative ${\Phi }_4^4$ Theory to all orders
• Progress in solving a noncommutative quantum field theory in four dimensions
• Duality covariant quantum field theory on noncommutative Minkowski space

Cited by in corpus (1)

• Field Theory on Curved Noncommutative Spacetimes