Aspects of the conformal operator product expansion in AdS/CFT correspondence
Aspects of the conformal operator product expansion in AdS/CFT correspondence
复制标题
AdS/CFT 对应中保形算子乘积扩展的各个方面
DOI：
10.1088/0264-9381/27/12/125001
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
Laurent Hoffmann
中科院分区：
文献类型：
--
作者：
W. Rühl;A. Petkou;Laurent Hoffmann
本文给出了AdS/CFT对应的标量共形四点函数的详细分析。研究了AdS中的标量交换图，讨论了它们的解析性质。利用共形分波分析的方法，给出了研究标量场与张量场交换的共形四点函数的一般方法。四点函数中的对数项与交换场的反常维数相联系。将AdS图的结果与共形部分波分析的结果进行比较，提出了边界CFT中标量场算子积展开的一种可能的一般形式。
We present a detailed analysis of a scalar conformal four-point function obtained from AdS/CFT correspondence. We study the scalar exchange graphs in AdS and discuss their analytic properties. Using methods of conformal partial wave analysis, we present a general procedure to study conformal four-point functions in terms of exchanges of scalar and tensor fields. The logarithmic terms in the four-point functions are connected to the anomalous dimensions of the exchanged fields. Comparison of the results from AdS graphs with the conformal partial wave analysis, suggests a possible general form for the operator product expansion of scalar fields in the boundary CFT.