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arXiv 2103.09478hep-ph
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非定域胶子凝聚的算子乘积展开

Operator product expansion for the non-local gluon condensate

V. M. Braun, K. G. Chetyrkin, B. A. Kniehl

摘要:

本文考虑由一条直线序Wilson线连接的两个胶子场强度张量乘积的短程展开。这种非定域算符的真空期望值是QCD真空结构研究中的常见对象,而它的核子期望值被称为胶子准部分子分布,作为从格点计算中提取胶子分布函数的工具而受到广泛关注。扩展我们以前的研究,我们计算的三圈系数函数的标量算子的算子乘积展开到4维。作为一个副产品,非定域双胶子算符的三圈反常维数也得到了。

英文摘要:

We consider the short-distance expansion of the product of two gluon field strength tensors connected by a straight-line-ordered Wilson line. The vacuum expectation value of this nonlocal operator is a common object in studies of the QCD vacuum structure, whereas its nucleon expectation value is known as the gluon quasi-parton distribution and is receiving a lot of attention as a tool to extract gluon distribution functions from lattice calculations. Extending our previous study, we calculate the three-loop coefficient functions of the scalar operators in the operator product expansion up to dimension four. As a by-product, the three-loop anomalous dimension of the nonlocal two-gluon operator is obtained as well.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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