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.
Keywords
Cite
@article{arxiv.hep-th/0306272,
title = {Duality Symmetry and Plane Waves in Non-Commutative Electrodynamics},
author = {Yasumi Abe and Rabin Banerjee and Izumi Tsutsui},
journal= {arXiv preprint arXiv:hep-th/0306272},
year = {2011}
}
Comments
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