Asymptotic solutions of the evolution equation for the polarized nucleon structure function g2(x, Q2)
Asymptotic solutions of the evolution equation for the polarized nucleon structure function g2(x, Q2)
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极化核子结构函数 g2(x, Q2) 演化方程的渐近解
DOI：
10.1016/0370-2693(91)90753-d
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发表时间：
1991
影响因子：
4.4
通讯作者：
G. Hiller
中科院分区：
文献类型：
--
作者：
A. Ali;V. Braun;G. Hiller
我们证明了对极化核子结构函数g_2tw.3（x，Q_2）有贡献的扭曲度为3的夸克算符在两个重要的极限Nc→∞和n→∞（Nc是色数，n是g_2的n阶矩）下与相同扭曲度的夸克胶子算符的演化方程解耦.夸克算符的反常维度总是光谱中最低的维度。导出了g2（x，Q2）在区域1−x <$1中的渐近行为。本文给出了QCD和Nc→∞情形下反常维数谱的广泛数值研究结果。
We show that quark operators of twist 3 contributing to the polarized nucleon structure function g2tw.3(x, Q2) decouple from the evolution equation for the quark-gluon operators of the same twist in two important limits,Nc→∞ and n→∞ (Ncis the number of colours and n refers to the nth moment of g2). The anomalous dimensions for the quark operators turn out to be always the lowest ones in the spectrum. Asymptotic behaviour of g2(x, Q2) in the region 1−x⪡1 is derived. Results of an extensive numerical study of the spectrum of anomalous dimensions for QCD and for the Nc→∞ cases are presented.