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arXiv 2212.07730hep-lat
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夸克和胶子算符的规范不变非微扰重整化

Non-perturbative renormalization of quark and gluon operators using a gauge-invariant scheme

G. Spanoudes, C. Alexandrou, J. Finkenrath, K. Hadjiyiannakou, H. Panagopoulos, S. Yamamoto

摘要:

利用规范不变重整化方案(GIRS),我们给出了在格点量子色动力学中研究的一些夸克和胶子算符的重整化函数(RF)的初步结果。GIRS是坐标空间重整化方法的一个变体,其中规范不变算子的格林函数在位置空间中计算。一个新颖的方面是,求和在不同的时间片的运营商的位置,以减少在晶格模拟的统计噪声。我们通过计算矢量一阶导数夸克双线性算子的RF来测试该方案的可靠性,该算子进入核子的平均动量分数。我们使用$N_f=4$简并扭曲质量三叶草改进的费米子系综不同的体积和晶格间距。我们还提出了第一个应用GIRS的结果时,运营商混合发生:胶子和夸克单重态能量动量张量运营商的混合系数进行评估施加适当的重整化条件的晶格。

英文摘要:

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.

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