任意时空电磁场的协变不可约参数化
Covariant Irreducible Parametrization of Electromagnetic Fields in Arbitrary Spacetime
摘要：
提出了一种新的统一的任意时空电磁场性质的协变描述。本文利用对称群SL（2，C），从麦克斯韦张量和度量张量出发，导出了描述六维电磁场的一组完整的不可约分量。对于一个特殊的情况下，平坦的时空度规的组件被示出对应于电磁场的标量不变量，能量动量应力张量，此外，三个新的张量表示物理可观的秩2和4，分别。我们对其中一个新的二阶张量作了物理解释，它描述了电磁场的经典内禀自旋。
英文摘要：
We present a new unified covariant description of electromagnetic field properties for an arbitrary space-time. We derive a complete set of irreducible components describing a six-dimensional electromagnetic field from the Maxwell and metric tensors using the symmetry group SL(2,C). For the special case of a flat space-time metric the components are shown to correspond to the scalar invariants of the electromagnetic field, the energy-momentum-stress tensor and in addition, three new tensors expressing physical observables of rank two and four, respectively. We make a physical interpretation of one of the new rank two tensors as describing a classical intrinsic spin of the electromagnetic field.
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