N=4 SYM带α '修正的有限解
Toward getting finite results from N=4 SYM with alpha'-corrections
摘要：
我们采取我们的第一步，从α '-校正的D=4 N=4 SYM理论的有限结果，重点是场论技术。从N=4 SYM的经典作用量出发，考虑了α '修正项的存在，我们研究了在一个环上的新发散。新的顶点不引入额外的发散的传播或三点传播。然而，它们确实引入了新的分歧，例如，到标量四点函数，它应该被额外的反项抵消。我们预计，通过考虑管柱环空图得到的1 PI有效作用量中会出现反项。我们工作的分歧和评论的应用程序的异常尺寸的SYM运营商的背景下，AdS/CFT的结构。
英文摘要：
We take our first step toward getting finite results from the alpha'-corrected D=4 N=4 SYM theory with emphasis on the field theory techniques. Starting with the classical action of N=4 SYM with the leading alpha'-corrections, we examine new divergence at one loop due to the presence of the alpha'-terms. The new vertices do not introduce additional divergence to the propagators or to the three-point correlators. However they do introduce new divergence, e.g., to the scalar four-point function which should be canceled by extra counter-terms. We expect that the counter-terms will appear in the 1PI effective action that is obtained by considering the string annulus diagram. We work out the structure of the divergence and comment on an application to the anomalous dimension of the SYM operators in the context of AdS/CFT.
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