Quantum properties of $U(1)$-like gauge theory on $\kappa$-Minkowski

TL;DR

This paper explores a 5-dimensional twisted $U(1)$-like gauge theory on $ppa$-Minkowski space, focusing on its construction and the non-vanishing of the one-loop tadpole function, highlighting quantum properties of the model.

Contribution

It provides a detailed construction of the gauge theory and analyzes the quantum correction, specifically the non-zero tadpole, in this noncommutative spacetime setting.

Findings

The gauge theory is successfully constructed on $ppa$-Minkowski.

The one-loop tadpole function does not vanish, indicating quantum corrections.

The study enhances understanding of gauge theories in noncommutative geometries.

Abstract

In the 5-dimensional twisted $U(1)$-like gauge theory on $\kappa$-Minkowski, the one-loop one-point (tadpole) function was computed in arXiv:2107.14462. This article summarizes the construction of such a gauge theory and discusses the non-vanishing of the tadpole.