Physics – Mathematical Physics
Scientific paper
2007-02-01
Adv. Appl. Clifford Alg. 17, 23 (2007)
Physics
Mathematical Physics
10 pages, no figures
Scientific paper
10.1007/s00006-006-0014-7
Maxwell's equations with massive photons and magnetic monopoles are formulated using spacetime algebra. It is demonstrated that a single non-homogeneous multi-vectorial equation describes the theory. Two limiting cases are considered and their symmetries highlighted: massless photons with magnetic monopoles and finite photon mass in the absence of monopoles. Finally, it is shown that the EM-duality invariance is a symmetry of the Hamiltonian density (for Minkowskian spacetime) and Lagrangian density (for Euclidean 4-space) that reflects the signature of the respective metric manifold.
Ali Syed Amjad
Cafaro Carlo
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