Q 2 evolution of chiral-odd twist-3 distribution e(x,Q 2 )
Q 2 evolution of chiral-odd twist-3 distribution e(x,Q 2 )
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DOI：
10.1103/physrevd.55.3068
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发表时间：
1996-08
影响因子：
5
通讯作者：
Y. Koike;N. Nishiyama
中科院分区：
文献类型：
--
作者：
Y. Koike;N. Nishiyama
本文研究了手征奇扭3分布e（x，Q^2）$对Q^2 $的依赖性，在单圈水平上计算了相应扭3分布的反常维数矩阵.本研究完成了所有twist-3分布的反常维数矩阵的计算，以及其他twist-3分布g_2（x，Q^2）和h_L（x，Q^2）的已知结果。我们还证明了在大N_c极限下，e（x，Q^2）的Q^2-演化完全由反常维数矩阵的最低特征值决定，其解析形式与g_2和h_L的情形一样简单.
We study the $Q^2$ dependence of the chiral-odd twist-3 distribution $e(x,Q^2)$.The anomalous dimension matrix for the corresponding twist-3 operators is calculated in the one-loop level. This study completes the calculation of the anomalous dimension matrices for all the twist-3 distributions together with the known results for the other twist-3 distributions $g_2(x,Q^2)$ and $h_L(x,Q^2)$. We also have confirmed that in the large $N_c$ limit the $Q^2$-evolution of $e(x,Q^2)$ is wholely governed by the lowest eigenvalue of the anomalous dimension matrix which takes a very simple analytic form as in the case of $g_2$ and $h_L$.