弯曲时空中经典二分量Proca场的波动方程
Wave Equations for Classical Two-Component Proca Fields in Curved Spacetimes with Torsionless Affinities
摘要：
在一般相对论时空的经典Proca场的完整理论的世界制定简要回顾和整个相关的场方程组被转录在一个简单的方式到框架的Infeld-van der Waerden形式主义之一。然后利用一些众所周知的计算技术来导出控制所允许的场的传播的波动方程。看来，所讨论的波动方程中没有携带此类场和电磁曲率之间的相互作用耦合。实际上，结果是，在所考虑的理论背景下，最终发生的唯一相互作用严格地涉及到引力子的普罗卡场和波函数。
英文摘要：
The world formulation of the full theory of classical Proca fields in generally relativistic spacetimes is concisely reviewed and the entire set of pertinent field equations is transcribed in a straightforward way into the framework of one of the Infeld-van der Waerden formalisms. Some well-known calculational techniques are then utilized for deriving the wave equations that control the propagation of the fields allowed for. It appears that no interaction couplings between such fields and electromagnetic curvatures are carried by the wave equations at issue. What results is, in effect, that the only interactions which ultimately occur in the theoretical context under consideration involve strictly Proca fields and wave functions for gravitons.
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