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The Spacetime Algebra Approach to Massive Classical Electrodynamics with Magnetic Monopoles

Carlo Cafaro·S. A. Ali
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Abstract

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.

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BibTeXRIS

Carlo Cafaro, S. A. Ali. 2008-10-25. The Spacetime Algebra Approach to Massive Classical Electrodynamics with Magnetic Monopoles. https://doi.org/10.1007/s00006-006-0014-7

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