High-energy behavior of Mellin amplitudes
High-energy behavior of Mellin amplitudes
复制标题
梅林振幅的高能行为
DOI：
10.1103/physrevd.101.066008
复制
发表时间：
2020
影响因子：
5
通讯作者：
Ooguri Hirosi
中科院分区：
文献类型：
--
作者：
Dodelson Matthew;Ooguri Hirosi
在任何一致的质量量子场论中，高能下的散射幅度都有众所周知的界限。在保形场理论中，没有散射振幅，但梅林振幅是一个定义明确的物体，类似于散射振幅。我们证明了共形场理论中的Mellin振幅在高能下界，在某些技术假设下是有效的。这样的界限是通过要求在位置空间相关器中不存在虚假奇点而得到的。我们还根据几个明确例子的证据推测了一个更强的界。
In any consistent massive quantum field theory there are well-known bounds on scattering amplitudes at high energies. In conformal field theory there is no scattering amplitude, but the Mellin amplitude is a well-defined object analogous to the scattering amplitude. We prove bounds at high energies on Mellin amplitudes in conformal field theories, valid under certain technical assumptions. Such bounds are derived by demanding the absence of spurious singularities in position space correlators. We also conjecture a stronger bound, based on evidence from several explicit examples.