On the anomalous dimension of the transversity distribution $h_1(x,Q^2)$

On the anomalous dimension of the transversity distribution $h_1(x,Q^2)$
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关于横向分布的反常维数$h_1(x,Q^2)$

DOI:
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发表时间:
2001
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通讯作者:
Johannes Blumlein
Johannes Blumlein
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文献类型:
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作者:
Johannes Blumlein

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摘要。我们使用正向情况下的局部光锥展开法、非正向情况下的局部光锥展开法和正向康普顿振幅的短距离展开法,直接计算横向结构函数的阶反常维数。我们的结果与Artru和Mekhfi [Z]的原始计算一致。物理学,45(1990)669],这一观点最近受到质疑。我们还评论了次序异常维。
Abstract. We calculate the leading order anomalous dimension of the transversity structure function directly using three different methods, the local light–cone expansion in the forward case, the non–forward case, and the short–distance expansion of the forward Compton amplitude. Our results agree with the original calculation by Artru and Mekhfi [Z. Phys. 45 (1990) 669], which has been doubted recently. We also comment on the next-to-leading order anomalous dimension.