This work investigates several key aspects of a non–commutative theory with mass
deformation. We calculate thermodynamic properties of the system and compare our results …

In this work, we study the thermodynamic properties on a non–commutative background via
gravitational gauge field potentials. This procedure is accomplished after contracting de …

When considering quantum field theories on non‐commutative spaces one inevitably
encounters the infamous UV/IR mixing problem. So far, only very few renormalizable models …

We investigate scattering amplitudes of the reversible θ-exact Seiberg-Witten map-based
noncommutative (NC) quantum electrodynamics and show explicitly the SW map invariance …

We show that there are one-loop IR singularities arising from UV/IR mixing in
noncommutative SU (N) Yang–Mills theory defined by means of the θ θ-exact Seiberg …

A bstract We compute the one-loop 1PI contributions to all the propagators of the
noncommutative (NC)\(\mathcal {N}= 1, 2, 4\) super Yang-Mills (SYM) U (1) theories defined …

Research progress on the noncommutative gauge theories on the Moyal space is discussed
in this minireview. We first present a brief overview on the development of gauge theories on …

The aim of this review is to present an overview over available models and approaches to
non-commutative gauge theory. Our main focus thereby is on gauge models formulated on …

The equivalence of the noncommutative U (N) quantum field theories related by the θ-exact
Seiberg-Witten maps is, in this paper, proven to all orders in the perturbation theory with …

A bstract We show that in the perturbative regime defined by the coupling constant, the θ-
exact Seiberg-Witten map applied to the noncommutative U (N) Yang-Mills—with or without …