Revisiting NCQED and scattering amplitudes

TL;DR

This paper reviews recent developments in noncommutative gauge theories on Moyal space, focusing on Seiberg-Witten maps, their induced relations, and properties of scattering amplitudes in NCQED, including phenomenological implications.

Contribution

It highlights the formal equivalence of effective actions and the explicit relations between scattering amplitudes in NCQED, providing insights into their properties and phenomenological relevance.

Findings

Reversible Seiberg-Witten maps induce key relations in NCQED.

Tree level scattering amplitudes exhibit a forward scattering singularity.

Discussion of phenomenological perspectives of NCYM models.

Abstract

Research progresses on the noncommutative gauge theories on the Moyal space are discussed in this minireview. We first present a brief overview on the development of gauge theories on Moyal space, with an emphasis on the role of Seiberg-Witten maps. Two important relations induced by reversible Seiberg-Witten maps, namely the formal equivalence of on-shell DeWitt background field effective action in general and explicit identical relation between tree level scattering amplituded in noncommutative quantum electrodynamics (NCQED), are described in some details. We then proceed to the properties of the tree level two-by-two scattering amplitudes in NCQED, including a forward scattering singularity in NCQED Compton scattering. After covering some phenomenological perspectives of NCYM based models, outlooks into the future are given at the end.