六和七圈小西从Luscher校正
Six and seven loop Konishi from Luscher corrections
摘要：
本文利用Luscher修正技术，从弦论中推导出N=4 SYM中Konishi算子异常维度的六个和七个循环公式。我们推导出解析的被积函数使用的世界表S-矩阵和评估所产生的积分和无穷和使用高精度数值积分和渐近展开的组合。我们使用这个高精度的数值结果来拟合zeta值的整数系数在最终的分析答案。给出的六圈和七圈结果可以用来与弦论方面的FiNLIE进行交叉检验，或者与直接的规范理论计算进行交叉检验。七个回路水平是该Luscher方法的理论极限，因为在八个回路处将出现双卷绕校正。
英文摘要：
In the present paper we derive six and seven loop formulas for the anomalous dimension of the Konishi operator in N=4 SYM from string theory using the technique of Luscher corrections. We derive analytically the integrand using the worldsheet S-matrix and evaluate the resulting integral and infinite sum using a combination of high precision numerical integration and asymptotic expansion. We use this high precision numerical result to fit the integer coefficients of zeta values in the final analytical answer. The presented six and seven loop results can be used as a cross-check with FiNLIE on the string theory side, or with direct gauge theory computations. The seven loop level is the theoretical limit of this Luscher approach as at eight loops double-wrapping corrections will appear.
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