论文标题
在动量空间中的共形部分波
Conformal partial waves in momentum space
论文作者
论文摘要
四点相关函数分解为共形部分波是保形场理论研究中的核心工具。我们在Minkowski动量空间中计算标量运算符的这些部分波，并找到有效的封闭形式的结果在任意时空尺寸$ d \ geq 3 $（包括非Integer $ d $）中。每个共形部分波均表示为普通旋转部分波的总和，该总和的系数分解为顶点函数的产物，该函数仅依赖于传入的，即将卸下的运算符的共形数据。作为一个简单的例子，我们将此共形部分波分解应用于$ d = 4 $ dimensions中的标量框。
The decomposition of 4-point correlation functions into conformal partial waves is a central tool in the study of conformal field theory. We compute these partial waves for scalar operators in Minkowski momentum space, and find a closed-form result valid in arbitrary space-time dimension $d \geq 3$ (including non-integer $d$). Each conformal partial wave is expressed as a sum over ordinary spin partial waves, and the coefficients of this sum factorize into a product of vertex functions that only depend on the conformal data of the incoming, respectively outgoing operators. As a simple example, we apply this conformal partial wave decomposition to the scalar box integral in $d = 4$ dimensions.
