Degenerate noncommutativity

TL;DR

This paper investigates a four-dimensional quantum field model with noncommutative geometry, performing explicit one-loop renormalization, connecting Euclidean and Minkowski formulations, and identifying a nontrivial fixed point in the renormalization group flow.

Contribution

It introduces a renormalizable four-dimensional model with degenerate noncommutativity and analyzes its renormalization properties and fixed points.

Findings

Explicit one-loop renormalization performed.

Euclidean and Minkowski models connected via analytic continuation.

Identification of a nontrivial fixed point at specific parameters.

Abstract

We study a renormalizable four dimensional model with two deformed quantized space directions. A one-loop renormalization is performed explicitly. The Euclidean model is connected to the Minkowski version via an analytic continuation. At a special value of the parameters a nontrivial fixed point of the renormalization group occurs.