论文标题
天体振幅的相对论部分波
Relativistic partial waves for celestial amplitudes
论文作者
论文摘要
相对论部分波膨胀的形式主义是针对无质量外部颗粒的四点天体振幅开发的。特别地，发现相对论的部分波是对具有适当特征值的天庞加莱·卡西米尔操作员的产物代表的特征函数。 Casimir操作员的墓碑性的要求用于固定相应的整体内部产品，并明确验证获得的相对论部分波的正交性。完整性关系以及相对论的部分波扩张随后。示例的标量，胶子，重力和开放式肌的天体振幅是根据相对论的部分波扩展的，以进行演示。在附录中，与大部分Minkowski空间中相对论部分波的配方的联系。
The formalism of relativistic partial wave expansion is developed for four-point celestial amplitudes of massless external particles. In particular, relativistic partial waves are found as eigenfunctions to the product representation of celestial Poincaré Casimir operators with appropriate eigenvalues. The requirement of hermiticity of Casimir operators is used to fix the corresponding integral inner product, and orthogonality of the obtained relativistic partial waves is verified explicitly. The completeness relation, as well as the relativistic partial wave expansion follow. Example celestial amplitudes of scalars, gluons, gravitons and open superstring gluons are expanded on the basis of relativistic partial waves for demonstration. A connection with the formulation of relativistic partial waves in the bulk of Minkowski space is made in appendices.
