标题： Proca场在AdS时空中的正常模式 显示英文标题

标题： Normal modes of Proca fields in AdS spacetime

摘要： 对反德西特（AdS）时空中的Proca场进行正常模分析。发现Proca场的方程可以解析地解耦。这是通过改变矢量球谐函数（VSH）分解的基底来实现的。然后解析地确定了AdS时空中Proca方程的正常模和正常模频率。还表明，通过仔细取Proca场的质量为零极限，可以恢复麦克斯韦场，从而消除非物理的规范模。 显示英文摘要

摘要： A normal mode analysis for Proca fields in the anti-de Sitter (AdS) spacetime is given. It is found that the equations for the Proca field can be decoupled analytically. This is performed by changing the basis of the vector spherical harmonics (VSH) decomposition. The normal modes and the normal mode frequencies of the Proca equation in the AdS spacetime are then analytically determined. It is also shown that the Maxwell field can be recovered by taking the massless limit of the Proca field with care so that the nonphysical gauge modes are eliminated.