论文标题

nnlo异常尺寸矩阵,用于扭曲两种风味的操作员

NNLO anomalous dimension matrix for twist-two flavor-singlet operators

论文作者

Braun, V. M., Chetyrkin, K. G., Manashov, A. N.

论文摘要

QCD的共形对称性在非智能$4-2ε$时空维度的Wilson-Fisher关键点恢复。临界点处具有不同异常维度的多差异算子的相关函数相同。我们表明,此属性允许一个人从一组量规数的运算符的两点相关函数中计算出扭转型运算符的异常尺寸矩阵的偏高部分,这些功能可以使用标准的计算机代数技术进行评估。作为例证,我们介绍了用于旋转$ n \ le 8 $的nnlo异常尺寸矩阵的结果。

Conformal symmetry of QCD is restored at the Wilson-Fisher critical point in noninteger $4-2ε$ space-time dimensions. Correlation functions of multiplicatively renormalizable operators with different anomalous dimensions at the critical point vanish identically. We show that this property allows one to calculate off-diagonal parts of the anomalous dimension matrices for leading-twist operators from a set of two-point correlation functions of gauge-invariant operators which can be evaluated using standard computer algebra techniques. As an illustration, we present the results for the NNLO anomalous dimension matrix for flavor-singlet QCD operators for spin $N\le 8$.

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