具有磁荷的预度规电动力学中的能量动量守恒
Energy-momentum conservation in pre-metric electrodynamics with magnetic charges
摘要：
本文用拓扑的、预度量的方法证明了包含磁荷和电荷的经典电动力学中能量动量守恒的一个充分必要条件。由电流上的F=（E，B）和磁流上的G=（H，D）的相互作用构成的广义洛伦兹力可以从能量-动量“势”导出，当且仅当本构关系G=G（F）满足一定的消失条件。由Hehl和Obukhov引入的电磁互易性被认为定义了2-形式对（F，G）的张量积上的复杂结构，该结构独立于但与由任何洛伦兹度量定义的霍奇星算子一致。与文献中最近的一个主张相反，它并没有定义2-形式空间本身的复杂结构。
英文摘要：
A necessary and sufficient condition for energy-momentum conservation is proved within a topological, pre-metric approach to classical electrodynamics including magnetic as well as electric charges. The extended Lorentz force, consisting of mutual actions by F=(E, B) on the electric current and G=(H, D) on the magnetic current, can be derived from an energy-momentum "potential" if and only if the constitutive relation G=G(F) satisfies a certain vanishing condition. The electric-magnetic reciprocity introduced by Hehl and Obukhov is seen to define a complex structure on the tensor product of 2-form pairs (F,G) which is independent of but consistent with the Hodge star operator defined by any Lorentzian metric. Contrary to a recent claim in the literature, it does not define a complex structure on the space of 2-forms itself.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
