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

TL;DR

This paper develops a noncommutative scalar quantum field theory with modified kinetic terms that improves UV behavior, eliminates UV/IR mixing, and avoids the Landau pole, offering a new approach to quantum field models.

Contribution

It introduces a noncommutative deformation with a modified kinetic term, leading to improved UV properties and absence of UV/IR mixing in scalar quantum field theory.

Findings

Improved UV behavior at one-loop level.

Absence of UV/IR mixing.

No Landau pole in the model.

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.