arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2310.00520hep-th
收藏

标量-引力子振幅与天体全息

Scalar-Graviton Amplitudes and Celestial Holography

Adam Ball, Shounak De, Akshay Yelleshpur Srikant, Anastasia Volovich

AI总结:

本文计算含一个有质量标量和二至四个引力子的散射振幅,发现令标量共形维数为零可得到无发散、非分布且符合标准CFT形式的天体关联函数,并修正软定理表述。

摘要:

我们计算了涉及一个有质量标量和两个、三个或四个引力子的散射振幅。我们表明,当有质量标量的共形维数被设为零时,所得的天体关联函数仅依赖于引力子的坐标。这类引力子关联函数是良定义的,不会遭受与通常引力子振幅的Mellin变换相关的发散。此外,它们是非分布性的,并采取标准CFT关联函数的形式。我们表明,它们与通常的OPE一致,但软定理的表述需要修正。

英文摘要:

We compute scattering amplitudes involving one massive scalar and two, three, or four gravitons. We show that when the conformal dimension of the massive scalar is set to zero, the resulting celestial correlators depend {\it only} on the coordinates of the gravitons. Such correlators of gravitons are well-defined and do not suffer from divergences associated with the Mellin transform of usual graviton amplitudes. Moreover, they are non-distributional and take the form of standard CFT correlators. We show that they are consistent with the usual OPEs but the statement of the soft theorem is modified.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑