Noncommutative QED and Anomalous Dipole Moments

TL;DR

This paper investigates noncommutative QED, demonstrating that noncommutative space modifies electron properties by inducing electric dipole effects and intrinsic magnetic moments, with detailed calculations confirming theoretical consistency.

Contribution

It provides detailed calculations of the electron-photon vertex in NCQED and explores the emergence of electric and magnetic dipole moments up to one loop level.

Findings

Ward identity is satisfied in NCQED

Noncommutative electrons exhibit electric dipole effects

Electrons have an intrinsic magnetic moment

Abstract

We study QED on noncommutative spaces, NCQED. In particular we present the detailed calculation for the noncommutative electron-photon vertex and show that the Ward identity is satisfied. We discuss that in the noncommutative case moving electron will show {\it electric} dipole effects. In addition, we work out the electric and magnetic dipole moments up to one loop level. For the magnetic moment we show that noncommutative electron has an intrinsic (spin independent) magnetic moment.