论文标题
阴影天体振幅
Shadow Celestial Amplitude
论文作者
论文摘要
我们在阴影保形的基础上研究散射幅度，该基础满足与原始保形主要基础相同的定义特性，并且比它具有许多优势。阴影天体振幅明显在天体球体上表现出位置，并且在操作员产品扩展（OPE）限制下的相关场理论中的相关函数就像相关函数。我们研究了三点阴影天体振幅的OPE限制，并从一大批Feynman图表中研究了一般$ 2 \至N-2 $阴影天体振幅。特别是，我们计算了$ s $ channel的四点阴影天体振幅的共形块扩展在树级时无质量标量的振幅，并表明扩展系数将作为OPE系数的乘积分解为OPE系数。
We study scattering amplitudes in the shadow conformal primary basis, which satisfies the same defining properties as the original conformal primary basis and has many advantages over it. The shadow celestial amplitudes exhibit locality manifestly on the celestial sphere, and behave like correlation functions in conformal field theory under the operator product expansion (OPE) limit. We study the OPE limits for three-point shadow celestial amplitude, and general $2\to n-2$ shadow celestial amplitudes from a large class of Feynman diagrams. In particular, we compute the conformal block expansion of the $s$-channel four-point shadow celestial amplitude of massless scalars at tree-level, and show that the expansion coefficients factorize as products of OPE coefficients.
