Amplitudes With Different Helicity Configurations Of Noncommutative QED

TL;DR

This paper derives helicity-specific amplitudes in noncommutative QED using recursion relations, providing explicit solutions for photonic processes with particular helicity configurations.

Contribution

It introduces the NCQED version of Yang-Mills recursion relations and solves them explicitly for specific helicity configurations.

Findings

Explicit helicity-dependent amplitudes derived for NCQED

Recursion relations adapted for noncommutative gauge theory

Solutions provided for special helicity configurations

Abstract

The amplitudes of purely photonic and photon{2-fermion processes of non- commutative QED (NCQED) are derived for different helicity configurations of photons. The basic ingredient is the NCQED counterpart of Yang-Mills recursion relations by means of Berends and Giele. The explicit solutions of recursion relations for NCQED photonic processes with special helicity configurations are presented.