格点上三夸克算符的不可约多重态：重整化下的混合控制
Irreducible Multiplets of Three-Quark Operators on the Lattice: Controlling Mixing under Renormalization
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，而这些矩又与三夸克算符的矩阵元素相关联。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。然而，在格点上，重整化条件下的算子混合问题是相当复杂的。在一个系统的方法，我们深入调查这个问题。利用超立方晶格的旋量对称群，我们推导出不可约变换的三夸克算子，这使我们能够控制混合模式。
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 three-quark operators. These can be calculated from first principles in lattice QCD. However, on the lattice the problems of operator mixing under renormalization are rather involved. In a systematic approach we investigate this issue in depth. Using the spinorial symmetry group of the hypercubic lattice we derive irreducibly transforming three-quark operators, which allow us to control the mixing pattern.
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