论文标题
使用规格不变方案对夸克和Gluon操作员的非扰动重新归一化
Non-perturbative renormalization of quark and gluon operators using a gauge-invariant scheme
论文作者
论文摘要
我们介绍了使用量规QCD研究的许多夸克和GLUON操作员的重新归一化函数（RF）的初步结果，该结果使用量规QCD研究（GIRS）。 GIRS是坐标空间重新规范化处方的变体，其中在位置空间中计算了Green的绿色函数。一个新的方面是，采用了操作员位置的不同时间切片的总结，以减少晶格模拟中的统计噪声。我们通过计算矢量单衍生夸克双线性操作员的RF来测试该方案的可靠性，该矢量单键型算子进入核子的平均动量分数。我们使用$ n_f = 4 $堕落的扭曲质量三叶草改良的费米恩集合，具有不同的体积和晶格间距。我们还提出了在操作员混合时应用GIRS的第一个结果：通过对晶格施加适当的重新规定条件来评估Gluon和Quark Singlet Energy-Momentum Tensor张量运算符的混合系数。
We present preliminary results for the renormalization functions (RFs) of a number of quark and gluon operators studied in lattice QCD using a gauge-invariant renormalization scheme (GIRS). GIRS is a variant of the coordinate-space renormalization prescription, in which Green's functions of gauge-invariant operators are calculated in position space. A novel aspect is that summations over different time slices of the positions of the operators are employed in order to reduce the statistical noise in lattice simulations. We test the reliability of this scheme by calculating RFs for the vector one-derivative quark bilinear operator, which enters the average momentum fraction of the nucleon. We use $N_f=4$ degenerate twisted mass clover-improved fermion ensembles of different volumes and lattice spacings. We also present first results of applying GIRS when operator mixing occurs: the mixing coefficients of the gluon and quark singlet energy-momentum tensor operators are evaluated by imposing appropriate renormalization conditions on the lattice.
