On The Classical Dynamics Of Charges In Noncommutative QED

TL;DR

This paper derives the classical equations of motion for charged particles in noncommutative QED, revealing modified momenta definitions and dipole behavior of charges, extending Wong's approach to noncommutative gauge theories.

Contribution

It extends Wong's classical dynamics approach to noncommutative U(1) gauge theory, highlighting modifications in momentum definitions and charge behavior.

Findings

Modified equations of motion for noncommutative QED

Identification of dipole behavior of charges in noncommutative space

Necessity to redefine mechanical momenta in this context

Abstract

One approach for formulating the classical dynamics of charged particles in non-Abelian gauge theories is due to Wong. Following Wong's approach, we derive the classical equations of motion of a charged particle in U(1) gauge theory on noncommutative space, the so-called noncommutative QED. In the present use of the procedure, it is observed that the definition of mechanical momenta should be modified. The derived equations of motion manifest the previous statement about the dipole behavior of charges in noncommutative space.