Duality and helicity: a symplectic viewpoint
Mathematical Physics
2016-08-31 v1 High Energy Physics - Theory
math.MP
Abstract
The theorem which says that helicity is the conserved quantity associated with the duality symmetry of the vacuum Maxwell equations is proved by viewing electromagnetism as an infinite dimensional symplectic system. In fact, it is shown that helicity is the moment map of duality acting as an group of canonical transformations on the symplectic space of all solutions of the vacuum Maxwell equations.
Cite
@article{arxiv.1608.01131,
title = {Duality and helicity: a symplectic viewpoint},
author = {M. Elbistan and C. Duval and P. A. Horvathy and P. -M. Zhang},
journal= {arXiv preprint arXiv:1608.01131},
year = {2016}
}
Comments
10 pages, no figures