Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics
نویسنده
چکیده
We generalise the electric-magnetic duality in standard Maxwell theory to its non-commutative version. Both space-space and space-time noncommutativity 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, in the presence of space-time non-commutativity, non-commutative electrodynamics admits two waves with distinct polarisations propagating at different velocities in the same direction. ∗ email: [email protected] † On leave from S.N. Bose Natl. Ctr. for Basic Sciences, Calcutta, India; email: [email protected] ‡ email: [email protected]
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