Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics

Abstract

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.

13 pages, PlainTeX. A reference and an equation (Ref.[11] and eq.(4.16)) are added, the text is amended, and some contents are deleted. Errors in some equations ((4.13), (4.14), (4.15) and (4.19)) are corrected

References in corpus (3)

• Noncommutative Electrodynamics
• Noncommuting Electric Fields and Algebraic Consistency in Noncommutative Gauge theories
• Hamiltonian formulation of Noncommutative D3--Brane

Cited by in corpus (15)

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• Self-duality, helicity conservation and normal ordering in nonlinear QED
• On the question of deconfinement in noncommutative Schwinger Model
• Noncommutative Electrodynamics with covariant coordinates
• A Note on Duality Symmetry in Nonlinear Gauge Theories
• Electric-Magnetic Dualities in Non-Abelian and Non-Commutative Gauge Theories
• Issues on 3D Noncommutative Electromagnetic Duality
• Equivalence of partition functions for noncommutative U(1) gauge theory and its dual in phase space
• The Lorentz Group, Noncommutative Space-Time, and Nonlinear Electrodynamics in Majorana-Oppenheimer Formalism
• Electromagnetic waves, gravitational coupling and duality analysis