Scale dependence of the chiral-odd twist-3 distributions hL(x) and e(x)
Scale dependence of the chiral-odd twist-3 distributions hL(x) and e(x)
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DOI：
10.1016/s0550-3213(97)00432-x
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发表时间：
1997-02
期刊：
影响因子：
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通讯作者：
A. Belitsky;D. Müller;D. Müller
中科院分区：
文献类型：
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作者：
A. Belitsky;D. Müller;D. Müller
我们计算了核子的手征奇扭曲-3分布e(X)和h-̃L(X)的完全前序演化核。我们建立了光锥位置的演化方程与光锥分数表示之间的联系，使得非局域弦算符乘积展开与QCD激发的部分子模型之间建立了对应关系。得到的局部反常维矩阵的紧致表达式与前人的计算结果一致。在多色QCD和大x极限下，扭度-3分布服从简单的DGLAP方程。结合这两个限制，我们提出了改进的DGLAP方程，并与精确发展方程的解进行了数值比较。
We evaluate the complete leading-order evolution kernels for the chiral-odd twist-3 distributions e(x) and h ̃L(x) of the nucleon. We establish the connection between the evolution equations in light-cone position and light-cone fraction representations, which makes a correspondence between the non-local string operator product expansion and the QCD-inspired parton model. The compact expression obtained for the local anomalous dimension matrix coincides with previous calculations. In the multicolour QCD as well as in the large-x limit the twist-3 distributions obey simple DGLAP equations. Combining these two limits, we propose improved DGLAP equations and compare them numerically with the solutions of the exact evolution equations.