磁单极大质量经典电动力学的时空代数方法
The Spacetime Algebra Approach to Massive Classical Electrodynamics with Magnetic Monopoles
摘要：
麦克斯韦方程组与大量的光子和磁单极子制定使用时空代数。它表明，一个单一的非齐次多向量方程描述的理论。两个极限情况下被认为是突出的对称性：无质量的光子与磁单极子和有限的光子质量的单极子的情况下。最后，它表明EM-对偶不变性是一个对称的哈密顿密度（闵可夫斯基时空）和拉格朗日密度（欧几里德4-空间），反映了各自的度量流形的签名。
英文摘要：
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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