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arXiv 2412.19862hep-lathep-phhep-thnucl-exnucl-th
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格点QCD中动量导数矩

Moments from Momentum Derivatives in Lattice QCD

Zhuoyi Pang, Jian-Hui Zhang, Dian-Jun Zhao

AI总结:

本文提出在格点QCD中利用动量导数实现传统矩方法,避免幂次发散混合,并利用对称性分别提取偶奇矩,示例确定了核子横向性分布前三个矩。

摘要:

我们展示了格点QCD中基于算子乘积展开(OPE)的传统矩方法可以通过利用动量导数而非距离导数的方式实现。这还避免了幂次发散混合,从而原则上可以逐阶提取矩,直至所有阶。此外,通过利用格点矩阵元的对称性,我们可以分别确定偶数和奇数矩。作为演示性示例,我们确定了核子中同位旋矢量夸克横向性分布的张量电荷gT之外的前三个矩。

英文摘要:

We show that the traditional moments approach in lattice QCD, based on operator product expansion (OPE), can be realized in a way that utilizes derivatives in momentum rather than in distance. This also avoids power divergent mixings, and thus allows to extract moments order by order, to all orders in principle. Moreover, by exploiting the symmetry of lattice matrix elements,we can determine the even and odd moments separately. As a demonstrative example, we determine the first three moments beyond the tensor charge gT of the isovector quark transversity distribution in the nucleon.

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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