论文标题
从广告流中构建CFT
Constructing CFTs from AdS flows
论文作者
论文摘要
我们研究了ADS中弱耦合量子场理论的相关函数的重新归一化组流程方程。在外部点接近共形边界的情况下，我们获得了同型不变的相关函数。我们解决了一个和两点函数的流量，并表明可以在四点函数的梅林幅度上获得对形成尺寸的校正。我们还得出了较高$ n $ - 点功能的梅林振幅的流动。然后，我们考虑在树级和一个循环（以ADS中）为单位的流量，并证明一个人精确地获得了Fitzpatrick等人先前得出的相应Mellin振幅的递归关系。 [arxiv：1107.1499]在树级和元[arxiv：1710.01361，arxiv：1801.07283]。作为一个应用程序，我们此外，我们将CFT Dual的某些操作员的同轴尺寸计算为ADS中的某些运算符至$ \ mathrm {o}（n）$标量模型。
We study the renormalization group flow equations for correlation functions of weakly coupled quantum field theories in AdS. Taking the limit where the external points approach the conformal boundary, we obtain a flow of conformally invariant correlation functions. We solve the flow for one- and two-point functions and show that the corrections to the conformal dimensions can be obtained as an integral over the Mellin amplitude of the four-point function. We also derive the flow of the Mellin amplitude for higher $n$-point functions. We then consider the flows at tree level and one loop (in AdS), and show that one obtains exactly the recursion relations for the corresponding Mellin amplitudes derived earlier by Fitzpatrick et al. [arXiv:1107.1499] at tree level and Yuan [arXiv:1710.01361,arXiv:1801.07283] at one loop. As an application, we furthermore compute one-loop corrections to the conformal dimensions for some operators in the CFT dual to an $\mathrm{O}(N)$ scalar model in AdS.
