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.
Noncommutative electrodynamics / G. Berrino, S.L. Cacciatori, A. Celi, L. Martucci, A. Vicini. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - 67:6(2003 Mar 28), pp. 065021.065021-1-065021.065021-7.
Noncommutative electrodynamics
S.L. CacciatoriSecondo
;A. Celi;L. MartucciPenultimo
;A. ViciniUltimo
2003
Abstract
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.Pubblicazioni consigliate
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