Duality and helicity: a symplectic viewpoint
arXiv:1608.01131 · doi:10.1016/j.physletb.2016.08.041
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.
10 pages, no figures
References in corpus (6)
- Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
- Dual electromagnetism: Helicity, spin, momentum, and angular momentum
- Electromagnetic duality symmetry and helicity conservation for the macroscopic Maxwell's equations (previously "Experimental demonstration of electromagnetic duality symmetry breaking")
- SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton
- Dynamical evolution of the chiral magnetic effect: Applications to the quark-gluon plasma
- Helicity of spin-extended chiral particles