Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics

Details Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics

2003-06-27

arxiv.org/abs/hep-th/0306272v5

Phys.Lett.B573:248-254,2003

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, PlainTeX. A reference and an equation (Ref.[11] and eq.(4.16)) are added, the text is amended, and some contents are

Scientific paper

10.1016/j.physletb.2003.08.057

We generalise the electric-magnetic duality in standard Maxwell theory to its non-commutative version. Both space-space and space-time non-commutativity are necessary. The duality symmetry is then extended to a general class of non-commutative gauge theories that goes beyond non-commutative electrodynamics. As an application of this symmetry, plane wave solutions are analysed. Dispersion relations following from these solutions show that general non-commutative gauge theories other than electrodynamics admits two waves with distinct polarisations propagating at different velocities in the same direction.

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