Recursive Relations For Processes With n Photons Of Noncommutative QED

TL;DR

This paper derives recursion relations for multi-photon processes in noncommutative QED, enabling calculations of complex photon interactions despite the momentum-dependent vertices, extending methods used in other gauge theories.

Contribution

It introduces a novel recursion relation approach for multi-photon processes in noncommutative QED, accommodating momentum-dependent vertices at tree level.

Findings

Recursion relations applicable to purely photonic processes.

Extension of recursion methods to processes involving two fermions.

Demonstration that noncommutative vertices' momentum dependence does not hinder recursion use.

Abstract

The recursion relations are derived for multi-photon processes of noncommutative QED. The relations concern purely photonic processes as well as the processes with two fermions involved, both for arbitrary number of photons at tree level. It is shown that despite of the dependence of noncommutative vertices on momentum, in contrast to momentum-independent color factors of QCD, the recursion relation method can be employed for multi-photon processes of noncommutative QED.