论文标题
广告的分析评估$ {} _ 4 $ WITTEN图作为平面空间多环Feynman积分
Analytical evaluation of AdS${}_4$ Witten diagrams as flat space multi-loop Feynman integrals
论文作者
论文摘要
我们描述了一种系统的方法，用于评估Witten图的多环散射幅度，用于通过将Witten图作为Flat Space Feynman Integrals重新铸造，来重新塑造Witten图。我们为所有双跟踪操作员的异常尺寸提供封闭形式表达式，直至耦合常数中的第二阶。我们解释了扁平空间单位性方法与Witten图边界上短距离膨胀的不连续性之间的关系。
We describe a systematic approach for the evaluation of Witten diagrams for multi-loop scattering amplitudes of a conformally coupled scalar $ϕ^4$-theory in Euclidean AdS$_4$, by recasting the Witten diagrams as flat space Feynman integrals. We derive closed form expressions for the anomalous dimensions for all double-trace operators up to the second order in the coupling constant. We explain the relation between the flat space unitarity methods and the discontinuities of the short distance expansion on the boundary of Witten diagrams.
