Noncommutative Electrodynamics

Details Noncommutative Electrodynamics Noncommutative Electrodynamics

2002-10-17

arxiv.org/abs/hep-th/0210171v2

Phys.Rev. D67 (2003) 065021

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 2 figures, one reference added

Scientific paper

10.1103/PhysRevD.67.065021

In this paper we define a causal Lorentz covariant noncommutative (NC) classical Electrodynamics. We obtain an explicit realization of the NC theory by solving perturbatively the Seiberg-Witten map. The action is polynomial in the field strenght $F$, allowing to preserve both causality and Lorentz covariance. The general structure of the Lagrangian is studied, to all orders in the perturbative expansion in the NC parameter $\theta$. We show that monochromatic plane waves are solutions of the equations of motion to all orders. An iterative method has been developed to solve the equations of motion and has been applied to the study of the corrections to the superposition law and to the Coulomb law.

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