张量规范场的自旋和轨道angular momentum
Spin and orbital angular momentum of the tensor gauge field
摘要：
继近年来对矢量规范场的自旋和轨道角动量的奇异性的研究之后，本文对与引力有一定关系的张量规范场进行了平行分析。与矢量情形类似，我们发现了一个很好的特征，即对于一个定态系统，在去掉所有规范自由度后，张量规范场的角动量为零。这个角动量也显示了张量场在无限多种完全规范固定方式下的单参数不变性。然而，张量规范耦合与矢量规范耦合有一个关键的区别，它可能会在空间平移和旋转发生器中引入内禀相互作用项，使十个庞加莱发生器中没有一个是无相互作用的。
英文摘要：
Following the recent studies of the trickiness in spin and orbital angular momentum of the vector gauge fields, we perform here a parallel analysis for the tensor gauge field, which has certain relation to gravitation. Similarly to the vector case, we find a nice feature that after removing all gauge degrees of freedom the angular momentum of the tensor gauge field vanishes for a stationary system. This angular momentum also shows a one-parameter invariance over the infinitely many ways of complete gauge fixing for the tensor field. The tensor gauge coupling, however, does exhibit a critical difference from the vector gauge coupling that it may induce intrinsic interaction terms into the spatial translation and rotation generators, leaving none of the ten Poincaré generators interaction-free.
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