论文标题

广告中巨大颗粒的散射幅度

A Scattering Amplitude for Massive Particles in AdS

论文作者

Gadde, Abhijit, Sharma, Trakshu

论文摘要

在本文中,我们提出了CFT相关函数的共同协变量空间表示。我们称之为广告S-Matrix。该表示形式的属性将其降低到平面限制中的S-Matrix。通过将所有粒子质量保持在操作员的共形尺寸与ADS RADIUS $ \ MATHTT {r} $一起使用时,可以通过将所有粒子质量保持固定来进行固定空间限制。我们提供类似Feynman的规则,以$ 1/ \ Mathtt {R} $扰动理论计算ADS S-Matrix。此外,我们将其与$ 1/ \ mathtt {r} $扰动理论的保形相关器的梅林空间表示。

In this paper, we propose a conformally covariant momentum space representation of CFT correlation functions. We call it the AdS S-matrix. This representation has the property that it reduces to the S-matrix in the flat space limit. The flat space limit in question is taken by keeping all the particle masses fixed as the operator conformal dimensions go to infinity along with the AdS radius $\mathtt{R}$. We give Feynman-like rules to compute the AdS S-matrix in $1/ \mathtt{R}$ perturbation theory. Moreover, we relate it to the Mellin space representation of the conformal correlators in $1/ \mathtt{R}$ perturbation theory.

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