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arXiv 0810.3762hep-lat
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三夸克算符的非微扰重整化

Non-perturbative renormalization of three-quark operators

M. Göckeler, R. Horsley, T. Kaltenbrunner, Y. Nakamura, D. Pleiter, P. E. L. Rakow, A. Schäfer, G. Schierholz, H. Stüben, N. Warkentin, J. M. Zanotti

摘要:

高光度加速器极大地增加了对涉及核子的半排他和排他反应的兴趣。相关的理论信息包含在核子波函数中,可以通过核子分布振幅的矩来参数化,而这些矩又与局部三夸克算子的矩阵元素相关联。这些都可以从格点量子色动力学的第一性原理中计算出来。定义了一个RI-R重整化方案,我们重整化对应于低阶矩的三夸克算符,并特别注意算符混合。在进行方案匹配和重整化标度的转换后,我们引用我们的最终结果在MSbar计划在μ =2 GeV。

英文摘要:

High luminosity accelerators have greatly increased the interest in semi-exclusive and exclusive reactions involving nucleons. The relevant theoretical information is contained in the nucleon wavefunction and can be parametrized by moments of the nucleon distribution amplitudes, which in turn are linked to matrix elements of local three-quark operators. These can be calculated from first principles in lattice QCD. Defining an RI-MOM renormalization scheme, we renormalize three-quark operators corresponding to low moments non-perturbatively and take special care of the operator mixing. After performing a scheme matching and a conversion of the renormalization scale we quote our final results in the MSbar scheme at mu=2 GeV.

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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